Question

Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?

Answer 1

A is the correct answer.

Answer 2

Answer:  First Option is correct i.e. $^9C_3(0.5)^3(0.5)^6$

Step-by-step explanation:

Since we have given that

Number of times Aron flips a penny = 9 times

Number of heads getting by him exactly = 3

Probability of getting a head (success) is given by

$\frac{1}{2}$

Probability of getting a tail ( failure ) is given by

$\frac{1}{2}$

So, We need to find the probability of getting exactly 3 heads:

$P(x=3)=^9C_3(\frac{1}{2})^3\times \frac{1}{2}^6\\\\P(x=3)=^9C_3(0.5)^3\times (0.5)^6\\\\P(x=3)=\frac{9!}{3!\tiems 6!}\times (0.5)^9\\\\P(x=3)=0.16$

Hence, First Option is correct i.e. $^9C_3(0.5)^3(0.5)^6$