Question

Vinay constructed this spinner based on the population of teachers at his school. According to Vinay's model, what is the probability that he will have a male history teacher two years in a row?

Answer 1

The probability that Vinay will have a male history teacher two years in a row would be calculated by multiplying the probability of having a male history teacher in one year by itself, assuming that the selection of a teacher in one year is independent from the selection in the next year.

Step-by-step explanation:

In order to calculate the probability that Vinay will have a male history teacher two years in a row, we would need to know the probability of having a male history teacher for one year. This calculation would assume that the probability remains consistent from one year to the next and that the selection of a teacher in one year does not affect the selection in the following year (meaning the events are independent).

For example, if the probability of having a male history teacher in one year is 0.5 (or 50%), then the probability of having a male history teacher two years in a row would be:

P(male history teacher in first year AND male history teacher in second year) = P(male history teacher in first year) × P(male history teacher in second year)

0.5 (for the first year) × 0.5 (for the second year) = 0.25 or 25%

This is assuming that the probability does not change over the years and each year's outcome is independent of the previous year.