Question

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

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

$9C3*(0.5)^3(0.5)^6$

Step-by-step explanation:

The binomial probability formula shown has variables which represents:

n is the total number of trials (here, we flip penny 9 times, hence n = 9)

k is the number we want to find (here, we want the probability of 3 heads, so k = 3)

p is the probability of success (here, success means getting heads. So, in a coin flip the probability of heads is always 1/2, so p = 1/2)

Putting all the info into the equation and using formula for nCk, we get:

$P(k successes)=nCk*p^{k}(1-p)^{n-k}\\P(3Heads)=9C3*(0.5)^3(1-0.5)^{9-3}\\P(3Heads)=9C3*(0.5)^3(0.5)^6$

The first expression shown in the answer choices is right.