Multiple choice

Directions: Study the following information and answer the question given below. There are 6 children sitting in a park. Each of them has an identical coin. They all toss their coins together. What is the probability of getting 2 heads?

  1. 15 64

  2. 15 24

  3. 15 32

  4. 15 16

  5. None of these
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A Correct answer
Explanation

There are C(6,2) ways to choose which two children get heads. Each of the 6 coins has two possible outcomes, so there are 2^6 = 64 total outcomes. The probability is C(6,2)/64 = 15/64.

AI explanation

Using the binomial probability formula, the probability of getting exactly r successes in n independent trials is n choose r multiplied by p to the power of r multiplied by q to the power of n minus r. Here, the probability of getting heads p is 1/2, the number of trials n is 6 and the desired number of heads r is 2. The calculation is (6 choose 2) multiplied by (1/2) squared multiplied by (1/2) to the power of 4, which simplifies to 15 multiplied by 1/64. This gives a final probability of 15 divided by 64.

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