Question

Maths (100 points)

Answer 1

Answer:

89%

Step-by-step explanation:

If he's on time on the previous day, there's a 10% probability he'll be late, which means there's a 90% probability that he'll be on time.

If he's late on the previous day, there's a 20% probability he'll be late, which means there's a 80% probability that he'll be on time.

He's on time on Monday, so there's a 10% probability he'll be late on Tuesday and a 90% probability he'll be on time.

If he's on time on Tuesday, there's a 10% probability he'll be late on Wednesday and a 90% probability he'll be on time.

If he's late on Tuesday, there's a 20% probability he'll be late on Wednesday and a 80% probability he'll be on time.

So the probability he'll be on time on Wednesday is:

0.10 (0.80) + 0.90 (0.90) = 0.89