Question

rolls it takes until he or she rolls doubles. the results are shown on the dot plot.

1. based on the results, what is the probability of needing exactly 6 rolls to get doubles?
2. based on the results, what is the probability of needing more than 6 rolls to get doubles?

Explanation:

Step1: Count total number of trials

Count all dots: $2 + 1 + 2 + 3 + 4 + 5 + 4 + 1 + 2 = 24$

Step2: Count trials with >6 rolls

Count dots for 7,8,9 rolls: $4 + 1 + 2 = 7$

Step3: Calculate probability

Divide favorable by total: $\frac{7}{24}$

Answer:

$\frac{7}{24}$