Question

solve and to using the table. must write your answer as a fraction, decimal.
outcome 1 2 3 4 5 6
frequency 16 20 22 10 18 14
total 100
a. what is the probability of rolling a 3?
b. what is the probability of rolling a 2 or a 4?

Explanation:

Step1: Recall probability formula

The probability formula is $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of outcomes is 100.

Step2: Find probability of rolling a 3

The frequency of rolling a 3 is 22. So $P(3)=\frac{22}{100} = 0.22$.

Step3: Find probability of rolling a 2 or 4

The frequency of rolling a 2 is 20 and of rolling a 4 is 10. The number of favorable outcomes for rolling a 2 or 4 is $20 + 10=30$. So $P(2\text{ or }4)=\frac{20 + 10}{100}=\frac{30}{100}=0.3$.

Answer:

a. $0.22$
b. $0.3$