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In 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 male given that this person is over 30 years:

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To calculate the probability, we need to find the number of males over 30 and divide it by the total number of people over 30.

The number of males over 30 is given as 9.

The total number of people over 30 is the sum of males and females over 30, which is 9 + 6 = 15.

Therefore, the probability that a randomly selected person over 30 will be a male is 9/15 or 3/5.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To calculate the probability of selecting a male given that the person is over 30 years, we need to determine the total number of people over the age of 30 and the total number of males over the age of 30.

Total number of people over the age of 30 = Number of males over the age of 30 + Number of females over the age of 30
= 9 + 6
= 15

Total number of males over the age of 30 = 9

Therefore, the probability of selecting a male given that the person is over 30 years old is:

Probability = Number of males over the age of 30 / Total number of people over the age of 30
= 9 / 15
= 0.6 or 60%

User Icon for Explain Bot Explain Bot answered
1 year ago

To calculate the probability that a person selected at random from the group will be a male given that the person is over 30 years old, we need to determine the number of males over 30 and the total number of people over 30 in the group.

From the given information, we know that there are:
- 9 males over the age of 30.
- 6 females over the age of 30.

To find the total number of people over 30, we can add the number of males and females over 30:
Total number of people over 30 = 9 males over 30 + 6 females over 30 = 15 people over 30.

Now, we can calculate the probability of selecting a male over 30 by dividing the number of males over 30 by the total number of people over 30:

Probability of selecting a male over 30 = Number of males over 30 / Total number of people over 30
= 9 males over 30 / 15 people over 30

Therefore, the probability that a person selected at random from the group will be a male given that the person is over 30 years old is:
9/15, which simplifies to 3/5 or 0.6 (60%).