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:
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%.
To calculate the probability of selecting a female or someone between 21 and 30 years old, we need to find the total number of females and the total number of people between 21 and 30, and then divide that by the total number of people in the group.
Total females = 10 females under 21 + 7 females between 21 and 30 + 6 females over 30
Total females = 10 + 7 + 6
Total females = 23
Total people between 21 and 30 = 8 males between 21 and 30 + 7 females between 21 and 30
Total people between 21 and 30 = 8 + 7
Total people between 21 and 30 = 15
Total 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
Total people in the group = 12 + 10 + 8 + 7 + 9 + 6
Total people in the group = 52
Probability = (Total females + Total people between 21 and 30) / Total people in the group
Probability = (23 + 15) / 52
Probability = 38 / 52
Probability ≈ 0.73
Therefore, the probability that if one person is selected at random from the group, the selected person will be a female or between 21 and 30 years old is approximately 0.73.
To calculate the probability of selecting a person who is either a female or between 21 and 30 years old, we need to determine the total number of females or individuals between 21 and 30, and divide it by the total number of people in the group.
Let's calculate that step-by-step:
1. Determine the total number of females:
Number of females under 21: 10
Number of females between 21 and 30: 7
Number of females over 30: 6
Total number of females = 10 + 7 + 6 = 23
2. Determine the total number of individuals between 21 and 30:
Number of males between 21 and 30: 8
Number of females between 21 and 30: 7
Total number of individuals between 21 and 30 = 8 + 7 = 15
3. Determine the total number of people in the group:
Number of males under 21: 12
Number of females under 21: 10
Number of males between 21 and 30: 8
Number of females between 21 and 30: 7
Number of males over 30: 9
Number of females over 30: 6
Total number of people = 12 + 10 + 8 + 7 + 9 + 6 = 52
4. Calculate the probability:
Probability = (Number of females + Number of individuals between 21 and 30) / Total number of people
Probability = (23 + 15) / 52
Probability = 38 / 52
Probability ≈ 0.73 or 73%
Therefore, the probability that a randomly selected person from the group will be a female or between 21 and 30 years old is approximately 0.73 or 73%.