Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2017MathematicsProbabilityActual

A coin is tossed 7 times. Each time a man calls head. The probability that he wins the toss at least four times is

Options

  1. A1 4
  2. B5 8
  3. C1 2
  4. D1 6

Correct answer

C. 1 2

Step-by-step solution

The man has to win atleast 4 times. ∴ Required probability = C 4 7 1 2 4 1 2 3 + C 5 7 1 2 5 1 2 2 + C 6 7 1 2 6 1 2 + C 7 7 1 2 7 = C 4 7 + C 5 7 + C 6 7 + C 7 7 × 1 2 7 = 64 2 7 = 1 2

Practice Probability on Quantrex Academy →

More from Probability

The probability of getting 10 in a single throw of three fair dice is 2024In a binomial distribution, the mean is 4 and variance is 3 . Then, its mode is 2024The probability that certain electronic component fails when first used is 0.10 . If it does not fail immediately, the probability that it lasts for one year is 0.99 . The probabil 2024Given below is the distribution of a random variable X If = P (X 3) and = P (X 2) , then : = 2024A book contains 1000 pages. A page is chosen at random. The probability that the sum of the digits of the marked number on the page is equal to 9 , is 2024For two events A and B , if P ( A )= P ( A B )= 1 4 and P ( B A )= 1 2 , then which of the following is not true? 2024If A and B are mutually exclusive events and if P ( B )= 1 3 , P ( A B )= 13 21 , then P ( A ) is equal to 2023A coin is tossed twice. Then, the probability that atleast one tail occurs is 2023 Full Probability list All BITSAT PYQs