Here's my homework question:

A woman flips a coin exactly 6 times in a row. What is the probability that the coin turned heads up exactly 3 times.

Can you show me as much work as you can and explain the steps to me?

Thank you.

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- Sep 30th 2010, 04:54 PMturtle27probability outcomes about coin flips
Here's my homework question:

A woman flips a coin exactly 6 times in a row. What is the probability that the coin turned heads up exactly 3 times.

Can you show me as much work as you can and explain the steps to me?

Thank you. - Sep 30th 2010, 05:07 PMGusbob
What have you learned about probability so far? Have you learned about binomial distribution?

- Sep 30th 2010, 05:21 PMturtle27
Yes, we have discussed binomial distribution.

- Sep 30th 2010, 05:56 PMGusbob
Then you would know that:

The number of the particular outcome (3 heads) is

$\displaystyle ^nC_k p^k (1-p)^k $

p is the probability of getting heads on 1 flip, so it's 0.5

k is the number of times p will occur, so it's 3

n is the number of times you repeat the process, so it's 6.

This gives you the number of ways 3 heads can be obtained from 6 coin flips.

Now you will need to divide this number by the number of total different outcomes to find the probability.