Question

There are 25 students in maya’s homeroom: 40% of the students are wearing glasses. 60% are wearing sneakers. 16% are wearing a hat. 12% are wearing both sneakers and glasses. 4% are wearing both sneakers and a hat. none of the students are wearing both glasses and a hat. what is the probability that a randomly chosen student in maya’s homeroom is wearing sneakers or wearing a hat?

A. 48%
B. 72%
C. 76%
D. 80%

Answer 1

The probability that a randomly chosen student is wearing sneakers or wearing a hat is 72%, which is calculated by adding the individual probabilities and then subtracting the probability of wearing both sneakers and a hat.Option B is the correct answer.

Step-by-step explanation:

The question involves calculating the probability that a randomly chosen student in Maya's homeroom is wearing either sneakers or a hat. To do this, we need to add the individual probabilities of wearing sneakers and wearing a hat, and subtract the probability of wearing both sneakers and a hat (since it has been counted in both the individual probabilities).

Probability of wearing sneakers: 60%
Probability of wearing a hat: 16%
Probability of wearing both sneakers and a hat: 4%

To find the probability of wearing sneakers or wearing a hat, we calculate: 60% + 16% - 4% = 72%. Therefore, the probability that a randomly chosen student is wearing sneakers or wearing a hat is 72%.