The probability of getting a prime number of heads given that heads occurs on at least 6 of the tosses is 0.0078
The number of observations n is 7
Here the success is heads
The probability of heads is 1/2
We need to find the the probability of getting a prime number of heads.
Heads occurs on at least 6 of the tosses
prime number greater than equal to 6 and less than equal to 7 is 7
So, X = 7
P(X = 7) = 7C7(1/2)⁷(1/2)⁰
P(X = 7) = 1 x (1/2)⁷ x
P(X =7 ) = 1/128
= 0.0078
Therefore, the probability of getting a prime number of heads given that heads occurs on at least 6 of the tosses is 0.0078
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