Question

Use the second method in the preceding segment to find the probability that the 6th toss out of a total of 10 tosses is Heads, given that there are exactly 2 Heads out of the 10 tosses. As in the preceding segment, continue to assume that all coin tosses are independent and that each coin toss has the same fixed probability of Heads. (In this and subsequent questions, your answer should be a number. Do not enter ‘!' or combinations in your answer.)

Answer 1

Answer:

The answer is 0.008789.

Step-by-step explanation:

The probability of getting a head or tail in a toss is $\frac{1}{2}$.

It is given that in the 6th toss, the outcome should be head.

Rather than the 6th toss, there are 9 tosses. From these 9 tosses 1 toss can be selected in 9 ways.

Hence, the probability is $9\times\frac{1}{2^{10}}$ =  0.008789.