1.

Five cards – ten, jack, queen, king, and an ace of diamonds are shuffled face downwards. One card is picked at random.(i) What is the probability that the card is a queen?(ii) If a king is drawn first and put aside, what is the probability that the second card picked up is the (a) ace? (b) king?

Answer»

Given: Five cards-ten, jack, queen, king and Ace of diamond are shuffled face downwards.

Required to find: Probability of following

Total number of cards is 5

(i) Total number of cards which is a queen is 1

Number of favourable outcomes i.e. Total number of cards which is queen = 1

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting cards which is a queen = 1/5

(ii) If a king is drawn first and put aside then

Total number of cards becomes 4

(a) Number of favourable outcomes i.e. Total number of ace card is 1

We know that Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting an ace card = 1/4

(b) Number of favourable outcomes i.e. Total number of king cards is 0

We know that Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting a king = 0



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