Question

In a social club there are 54 men and 25 women. The probability that a man chosen at random wears glasses is 2/9 The probability that a woman chosen at random wears glasses is 3/5 a) Work out the number of people in the club who wear glasses.

Answer 1

There are 27 people in the club who wear glasses, calculated by using the given probabilities of men (2/9) and women (3/5) wearing glasses and multiplying them by the total number of men (54) and women (25) respectively.

Step-by-step explanation:

To calculate the number of people in the club who wear glasses, you first use the given probabilities to determine the number of men and women who wear glasses separately. The total number of men in the club is 54, and the probability that a man wears glasses is 2/9. To find the number of men who wear glasses, multiply the total number of men by the probability:

• Number of men who wear glasses = 54 men * 2/9 = 12 men.

Similarly, the total number of women in the club is 25, and the probability that a woman wears glasses is 3/5. To find the number of women who wear glasses, multiply the total number of women by the probability:

• Number of women who wear glasses = 25 women * 3/5 = 15 women.

To get the total number of people who wear glasses, you add the number of men who wear glasses to the number of women who wear glasses:

• Total number of people who wear glasses = Number of men who wear glasses + Number of women who wear glasses
• Total number of people who wear glasses = 12 men + 15 women = 27 people.

Therefore, there are 27 people in the club who wear glasses.