Question

at a carnival game, the chance of winning a prize is 0.45. kylee plays the game 3 times. using the table, what is the probability that she wins at most 2 prizes? 0.09 0.33 0.58 0.91

Explanation:

Step1: Understand the concept of 'at most 2'

The probability of winning at most 2 prizes is the sum of the probabilities of winning 0, 1, or 2 prizes. Another way is to use the complement rule: \(P(X\leq2)=1 - P(X = 3)\)

Step2: Apply the complement rule

We know that \(P(X = 3)=0.09\) (from the table). Using the formula \(P(X\leq2)=1 - P(X = 3)\)

Substitute the value: \(P(X\leq2)=1- 0.09\)

Step3: Calculate the result

\(1-0.09 = 0.91\)

Answer:

\(0.91\)