The probability that James will win two races in the next two days is one-eighth for tomorrow and one-tenth for the day after tomorrow. What is P(win tomorrow, then win the day after tomorrow)?
A. start fraction 1 over 80 end fraction
B. start fraction 1 over 40 end fraction
C. Start Fraction 1 over 18 End Fraction
D. Start Fraction 2 over 9 End Fraction.
The probability of two independent events happening is the product of their individual probabilities. Therefore, the probability of James winning tomorrow and then winning the day after tomorrow is:
P(win tomorrow) × P(win the day after tomorrow) = (1/8) × (1/10) = 1/80
So, the answer is A. 1/80.
To find the probability that James will win tomorrow and then win the day after tomorrow, you need to multiply the probabilities of each event occurring.
The probability of winning tomorrow is 1/8, and the probability of winning the day after tomorrow is 1/10.
So, the probability that James will win both races is (1/8) * (1/10) = 1/80.
Therefore, the answer is A. start fraction 1 over 80 end fraction.