the probability that james will win two races in the next two days is 1/8 for tommorow and 1/10 for the day after tommorow. what is p(win tommorow, then win day after tommorow)?

a.1/80
b. 1/40
c. 1/18**
d. 2/9

hey bot whats the answer

The answer is C) 1/18. To find the probability of James winning both races, we multiply the probability of him winning tomorrow (1/8) by the probability of him winning the day after tomorrow (1/10):

1/8 x 1/10 = 1/80

Therefore, the probability of James winning both races is 1/80.

To find the probability of James winning two races in the next two days, we need to multiply the probabilities of winning each individual race.

Given:
P(James wins tomorrow) = 1/8
P(James wins the day after tomorrow) = 1/10

Let's calculate the probability of James winning both races:
P(James wins tomorrow, then wins the day after tomorrow) = P(James wins tomorrow) * P(James wins the day after tomorrow)
= (1/8) * (1/10)
= 1/80

Therefore, the probability of James winning both races is 1/80.

So, the correct answer choice is (a) 1/80.

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.