A survey was given to two different age groups about whether they enjoyed a local theater production. Use the results of the table to find the probability that a randomly selected participant is 20 to 29 years old and did not enjoy the production.

Answer 1

To find the probability that a randomly selected participant is 20 to 29 years old and did not enjoy the production, we need to divide the number of participants within that age group who did not enjoy the production by the total number of participants:

Probability = number of 20-29 year olds who did not enjoy the production / total number of participants

From the table given, we can see that there were 160 participants in the 20-29 age group, and out of those, 40 did not enjoy the production.

So, the probability is:

Probability = 40 / 160

Simplifying the fraction, we get:

Probability = 1 / 4

Therefore, the probability that a randomly selected participant is 20 to 29 years old and did not enjoy the production is 1/4 or 0.25.