Under 20 21-30 31-40
Male 12 12 17
Female 13 16 21
If two people are selected at random, what is the probability they are both female?
There are a total of 41 males and 50 females. The probability of picking two females a row (if each can be picked only once) is (50/91)x(49/90)
= 0.2991
To find the probability that two people selected at random are both female, we need to calculate the ratio of the number of favorable outcomes (i.e., both are female) to the total number of possible outcomes.
First, let's determine the total number of possible outcomes. We have a table that shows the number of people in each age group and gender category. In this case, there are a total of 3 age groups (columns) and 2 gender categories (rows). Hence, the total number of possible outcomes is given by: 3 (age groups) multiplied by 2 (gender categories) equals 6.
Next, let's identify the favorable outcomes, which are the cases where both selected individuals are female. From the provided table, we see that in the "Female" row, the count for the three age groups is 13, 16, and 21, respectively. Therefore, the favorable outcomes is the sum of these three counts, which is 13 + 16 + 21 = 50.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 50 / 6
Simplifying the fraction, we get:
Probability = 8.33 (rounded to two decimal places)
Therefore, the probability that two people selected at random are both female is approximately 8.33%.