You have two ways to drive home from school: Route A is usually quicker; Route B is

scenic but slower. You choose Route A on 60% of your days and this gets you home by

4:00 P. M. 80% of the time. When you choose Route B you get home by 4:00 P. M. only

30% of the time. What is the probability that you choose Route B and get home by 6:00

P. M.?

Question

Mathematics

Flake

14 September, 07:55

You have two ways to drive home from school: Route A is usually quicker; Route B is

scenic but slower. You choose Route A on 60% of your days and this gets you home by

4:00 P. M. 80% of the time. When you choose Route B you get home by 4:00 P. M. only

30% of the time. What is the probability that you choose Route B and get home by 6:00

P. M.?

+3

Answers (1)

Know the Answer?

Nicole · Answer 1

0.12 = 12%

Step-by-step explanation:

To find this probability, we need to multiply the probability of getting route B, and the probability of getting home by 4 P. M if we choose route B.

If the probability of choosing route A is 60%, we have that the probability of choosing route B is 100% - 60% = 40%

Then, we have that the probability of getting home by 4 P. M. when choosing route B is 30%, so the final probability is:

P = 40% * 30% = 0.4 * 0.3 = 0.12 = 12%