Two coins are tossed.what is the probability of coming up of two head,

1.	Two coins are tossed.what is the probability of coming up of two head, if it is known as at least one head comes up?
Answer» Total no. of outcomes = 4 HH, HT, TH, TT (where H is head and T is tail) No. of favourable outcomes = 1 HH (coming up two heads together) Probability = No. of favourable outcomes / Total no. of outcomes = 1/4 Answer = 1/3 Let S be the event of tossing two coins Sample space S = {HH,TT,HT,TH} Let A be the event where at least one head shows up A = {HH,TH,HT} Let B be the event where two heads show up B = {HH} Now, Probability of event B given that event A happens = P(B/A) = n(B)/n(A) = 1/3

Two coins are tossed.what is the probability of coming up of two head, if it is known as at least one head comes up?

Answer»

Total no. of outcomes = 4
HH, HT, TH, TT (where H is head and T is tail)

No. of favourable outcomes = 1
HH (coming up two heads together)

Probability = No. of favourable outcomes / Total no. of outcomes = 1/4

Answer = 1/3

Let S be the event of tossing two coins

Sample space S = {HH,TT,HT,TH}

Let A be the event where at least one head shows up

A = {HH,TH,HT}

Let B be the event where two heads show up

B = {HH}

Now,

Probability of event B given that event A happens = P(B/A) = n(B)/n(A) = 1/3

Discussion

No Comment Found

Related InterviewSolutions

The chance of a student passing an exam is 30% , the chance of a student passing the exam and getting above 80% marks in it is 10%, if it is given that a student has passed the examination, then find the probability that the student has secure more than 80% marks in the exam ?1. 3/82. 1/33. 1/94. 1/8
A bag contains 5 black and 6 white balls; one balls are drawn at random. What is the probability that the balls drawn are black?1. 6/112. 5/63. 5/114. 2/5
Person A can hit a target 4 times in 5 attempts. Person B - 3 times in four attempts. Person C - 2 times in 3 attempts. They fire a volley. The probability that the target is hit atleast two times is1. 3/42. 1/23. 5/64. 1
A dice is thrown, find the probability of getting a number which is exactly divisible by 2.1. 2/32. 1/23. 1/34. 1/4
If two dice are thrown simultaneously then find the probability that the sum of the numbers coming up on them is 11, given that the number 5 always occurs on the first dice.1. 1/32. 1/363. 1/124. 1/6
Let A and B be two events such that \(\rm P\left( \overline{A\cup B} \right)=\frac{1}{6}\), \(\rm P\left( A\cap B \right)=\frac{1}{4}\) and \(\rm P\left( \overline{A} \right)=\frac{1}{4}\), where A̅ is the complementary event of A. Then A and B are:1. Equally likely but not independent.2. Equally likely and mutually exclusive.3. Mutually exclusive and independent.4. Independent but not equally likely.
A bag has 10 red balls, 5 green balls and ‘x’ yellow balls. If the probability of drawing 2 red balls from the bag is 13/57 more than the probability of drawing 2 yellow balls then find total balls in the bag?1. 152. 253. 204. 195. 30
1/5th of cistern can be emptied in 2 hours. Calculate what percentage of tank was filled if it takes 6 hours to empty that amount of tank1. 25% 2. 60%3. 50%4. 40%5. 45%
Two fair dice are rolled. What is the probability that the total score is a prime number?1. \(\dfrac{1}{6}\)2. \(\dfrac{5}{12}\)3. \(\dfrac{1}{2}\)4. \(\dfrac{7}{9}\)
A random variable X has the distribution law as given below:X123P(X = x)0.30.40.3The variance of the distribution is:1. 0.42. 0.63. 0.24. None of these