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Right option is (a) \(\frac{1}{52}\)

The explanation: Deck of cards contains 52 cards. There are 13 cards of HEARTS, SPADES, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. There is one ace of heart CARD. The probability of picking an ace of heart card from deck of cards is \(\frac{1}{52}\).

The CORRECT choice is (b) \(\frac{12}{52}\)

To explain: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Card greater in value than 5 and lesser than 9 are 6, 7 and 8 and can BELONG to heart, spade, club or diamond. Hence, 12 outcomes are POSSIBLE when DRAWING a card from deck of cards. PROBABILITY of picking a card greater in value than 5 and lesser than 9 from deck of cards is \(\frac{12}{52}\).

Correct CHOICE is (c) \(\frac{1}{4}\)

Explanation: Deck of cards CONTAINS 52 cards. There are 13 cards of HEARTS, spades, clubs and DIAMONDS. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. The probability of picking a club card is \(\frac{1}{4}\).

Right CHOICE is (d) \(\FRAC{1}{16}\)

To explain: A coin has two sides i.e. head and tail. When a coin is tossed, we can get EITHER head or tail. There are 16 possibilities when 4 coins are tossed. The probability of getting all HEADS is \(\frac{1}{16}\).

The correct answer is (b) \(\FRAC{1}{3}\)

The EXPLANATION: A die has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. 1,4 and 6 are non-prime numbers. Probability of getting non-prime NUMBER when a die is rolled is \(\frac{1}{2}\).

Correct CHOICE is (b) \(\frac{7}{13}\)

EXPLANATION: A bag has 5 RED, 3 WHITE and 2 black balls. Picking a black or red ball means we can pick any of the 7 balls. THUS, the probability of picking a black or red ball is \(\frac{7}{13}\).

Correct option is (c) \(\frac{1}{12}\)

Best explanation: A die has 6 faces which are NUMBERED 1, 2, 3, 4, 5 and 6. When 2 dice are ROLLED, the possible outcomes are:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6).

The three combinations (5,6), (6,5) and (6,6) on multiplication have value greater than 25. HENCE, the probability is \(\frac{1}{12}\).

Right option is (C) \(\frac{1}{6}\)

For explanation I would say: A die has 6 faces which are numbered 1, 2, 3, 4, 5 and 6. The only number greater than 5 is 6. The PROBABILITY of getting a number greater than 5 when a die is rolled is \(\frac{1}{6}\).

The CORRECT option is (a) \(\frac{16}{52}\)

To ELABORATE: DECK of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. There are 16 face cards. The probability of picking a face card from deck of cards is \(\frac{16}{52}\).

The CORRECT option is (c) \(\FRAC{2}{11}\)

To explain: A bag contains four types of fruits apple, ORANGE, LEMONS and tangerines. The outcome of picking a fruit at random from the bag is picking either of the 11 pieces. Hence, 4 is the correct answer. Probability of picking an apple from the bag is \(\frac{2}{11}\).

The CORRECT answer is (b) \(\frac{1}{13}\)

Best EXPLANATION: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. King card can belong to HEART, spade, club or diamond. Hence, 4 outcomes are possible when drawing a king card from deck of cards. Probability of PICKING a king from deck of cards is \(\frac{1}{13}\).

The correct answer is (b) \(\FRAC{1}{4}\)

The explanation is: DECK of cards CONTAINS 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. The probability of PICKING a card of diamond is \(\frac{1}{4}\).

Correct choice is (b) \(\frac{2}{7}\)

Explanation: A bag has 7 BALLS; 2 red, 3 blue and 2 green. When a ball is PICKED from bag, it can be of red, blue or green. There are 2 red balls. Hence, the probability of picking a red ball from the bag is \(\frac{2}{7}\).

Right choice is (b) \(\frac{1}{3}\)

To ELABORATE: A die has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a die is rolled, there are 6 outcomes possible. Outcome of GETTING ODD number when a die is rolled is 3. Hence, PROBABILITY of getting odd number when a die is rolled is \(\frac{1}{3}\).

The correct option is (d) \(\frac{2}{5}\)

BEST explanation: A bag has 3 white and 2 BLACK balls. Picking a black ball MEANS any of the 2 black balls can be picked. Thus, the probability of picking a black from 5 balls in the bag is \(\frac{2}{5}\).

Right choice is (c) \(\frac{3}{8}\)

For explanation: A coin has TWO sides i.e. head and tail. When a coin is tossed, we can get either head or tail. The likelihood of getting either head or tail is equal. The outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Hence, the probability of getting 2 heads and 1 tail when 3 coins are tossed is \(\frac{3}{8}\).

Right option is (c) \(\frac{1}{4}\)

To explain I would say: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. The probability of PICKING a SPADE card from deck of cards is \(\frac{1}{4}\).

The correct option is (c) \(\FRAC{1}{4}\)

For explanation: A BAG contains four types of fruits apple, ORANGE, lemons and tangerines. The outcome of picking a fruit at RANDOM from the bag is picking either of the four fruits. Hence, 4 is the correct answer. PROBABILITY of picking an apple from the bag is \(\frac{1}{4}\).

Right choice is (b) \(\frac{1}{13}\)

The best explanation: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. QUEEN card can belong to heart, spade, club or diamond. Hence, 4 outcomes are possible when drawing a queen card from deck of cards. Probability of picking a queen from deck of cards is \(\frac{1}{13}\).

The correct answer is (a) \(\frac{1}{2}\)

The best I can explain: Deck of CARDS contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Heart and DIAMOND cards are red cards and clubs and spades are black card. Hence, we have 26 red cards and 26 black cards in a deck. The probability of picking a red card is \(\frac{1}{2}\).

The correct option is (B) \(\frac{1}{3}\)

For EXPLANATION I WOULD say: A bag has 6 balls; two of each color red, blue, green. When a ball is picked from bag, it can be of red, blue or green. So possible OUTCOME of picking ball from bag is 3. Hence, the probability of picking a red ball from the bag is \(\frac{1}{3}\).

The correct ANSWER is (b) \(\frac{1}{3}\)

To explain: A DIE has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a die is rolled, there are 6 outcomes possible. OUTCOME of getting even NUMBER when a die is rolled is 3. Hence, probability of getting even number when a die is rolled is \(\frac{1}{3}\).

The correct answer is (d) \(\FRAC{1}{6}\)

To elaborate: A die has 6 faces. The faces are NUMBERED 1, 2, 3, 4, 5 and 6. When a die is rolled, there are 6 outcomes possible. Probability of getting 6 when a die is rolled is \(\frac{1}{6}\).

Right choice is (a) \(\FRAC{1}{2}\)

Explanation: A coin has TWO sides i.e. head and tail. When a coin is tossed, we can get either head or tail. The likelihood of getting either head or tail is equal. We want to head in one coin and tail in other coin. The four possible outcomes are HH, TH, HT, TT. Hence the probability of getting different outcomes on both coins is \(\frac{1}{2}\).

The correct choice is (c) \(\FRAC{1}{4}\)

The best explanation: A coin has two sides i.e. head and tail. When a coin is TOSSED, we can GET either head or tail. The likelihood of getting either head or tail is equal. HENCE, the probability of getting head when a coin is tossed is \(\frac{1}{2}\). The probability of getting head on both the coins is \(\frac{1}{4}\).

Right option is (c) 3

For EXPLANATION: A die has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a die is rolled, there are 6 outcomes. The minimum of rolling a die is 1. Hence, when three DICE are rolled the minimum of sum possible is 3.

Correct choice is (a) \(\frac{1}{2}\)

For explanation: A coin has TWO sides i.e. head and tail. When a coin is tossed, we can GET either head or tail. The LIKELIHOOD of getting either head or tail is equal. Hence, the PROBABILITY of getting head when a coin is tossed is \(\frac{1}{2}\).

The correct answer is (c) 4

The best I can explain: A bag contains four TYPES of fruits APPLE, orange, lemons and TANGERINES. The outcome of picking a FRUIT at RANDOM from the bag is picking either of the four fruits. Hence, 4 is the correct answer.

The correct choice is (d) Heart, Diamond

The explanation: DECK of CARDS contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Heart and diamond cards are red cards and clubs and spades are BLACK card.

Correct answer is (c) 3

The best I can explain: A bag has 6 balls; two of each color red, blue, GREEN. When a ball is picked from bag, it can be of red, blue or green. So POSSIBLE OUTCOME of picking ball from bag is 3.

The correct answer is (c) 4

The best I can explain: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Queen CARD can belong to heart, SPADE, CLUB or diamond. Hence, 4 outcomes are POSSIBLE when drawing a queen card from deck of cards.

Correct answer is (d) Player one and two have EQUAL chances of getting head

To explain I WOULD say: A coin has two SIDES i.e. head (H) and tail (T). When a coin is tossed, we can GET either head or tail. Player one and player two are independent of each other. They cannot influence outcome of each other.

Right choice is (d) 5

Best explanation: A DIE has 6 faces. The faces are numbered 1, 2, 3, 5, 5 and 6. When a die is rolled, there are 5 outcomes possible. Outcome 4 is not possible as none of the faces are MARKED as 4.

The correct CHOICE is (b) 1, 2, 3, 4, 5, 6

Explanation: A die has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a die is ROLLED, there are 6 OUTCOMES.

Right option is (c) 4

The BEST EXPLANATION: On SPINNING the wheel, one of the four SECTIONS can be selected. Hence, the number of outcomes of spinning the wheel are 4.

Correct answer is (a) HH, HT, TH, TT

Easiest EXPLANATION: A COIN has two sides i.e. head (H) and tail (T). When a coin is tossed, we can get either head or tail. When 2 coins are tossed, the possible OUTCOMES are HH, HT, TH, TT. THUS, there are 4 outcomes when 2 coins are tossed.

Right answer is (d) 5

Easiest explanation: A bag has 5 balls. One of each color RED, blue, green, YELLOW and pink. When a ball is PICKED from bag, it can be EITHER of the 5 balls. So possible outcome of picking ball from bag is 5.

Correct option is (a) 6

The best I can EXPLAIN: A dice has 6 faces. The faces are NUMBERED 1, 2, 3, 4, 5 and 6. When a dice is rolled, there are 6 outcomes. When 2 dice are rolled, possible outcomes are 36 as below:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6).

Right option is (a) 6

To explain: A die has 6 faces. The faces are NUMBERED 1, 2, 3, 4, 5 and 6. When a die is ROLLED, there are 6 outcomes.

The CORRECT ANSWER is (c) 8

To elaborate: A coin has two sides i.e. head (H) and tail (T). When a coin is tossed, we can get EITHER head or tail. When 3 coins are tossed, the possible OUTCOMES are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. THUS, there are 8 outcomes when 3 coins are tossed.

Correct option is (d) 4

The best I can explain: A coin has two sides i.e. head (H) and TAIL (T). When a coin is tossed, we can get EITHER head or tail. When 2 coins are tossed, the possible outcomes are HH, HT, TH, TT. THUS, there are 4 outcomes when 2 coins are tossed.

The correct CHOICE is (b) 2

For explanation: A COIN has two sides i.e. head and tail. When a coin is TOSSED, we can get either head or tail. Thus, there are 2 outcomes when a coin is tossed.