n a group of people on holiday it is established that there are:


12 males under the age of 21.
10 females under the age of 21.
8 males aged between 21 and 30.
7 females aged between 21 and 30.
9 males over the age of 30.
6 females over the age of 30.

Calculate the probability that , if one person is selected at random from the group this person will be a female or between 21 and 30 years:

1 answer

To calculate the probability of selecting a person who is either a female or between 21 and 30 years old, we need to find the total number of females and people between 21 and 30 years old, and divide it by the total number of people in the group.

Total number of females = (10 females under 21) + (7 females between 21 and 30) + (6 females over 30) = 23 females.
Total number of people between 21 and 30 years old = (8 males between 21 and 30) + (7 females between 21 and 30) = 15 people.

Total number of people in the group = (12 males under 21) + (10 females under 21) + (8 males between 21 and 30) + (7 females between 21 and 30) + (9 males over 30) + (6 females over 30) = 52 people.

Therefore, the probability of selecting a person who is either a female or between 21 and 30 years old is:
(23 females + 15 people between 21 and 30) / 52 total people = 38/52 = 0.73 (rounded to two decimal places).

The probability is approximately 0.73 or 73%.