Question

john and ted have a reputation of being late to events. If john is late 20% of the time and ted is late 40% of the time what is the probability that they will both be on time? Please show your work or explain your answer

Answer 1

The probability that they will both be on time is 12/25.

Explanation:

John is late 20% of the time.

So, he is prompt 80% of the time.

Ted is late 40% of the time.

So, he is prompt 60% of the time.

Since, both the events are independent,

p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)

`= (80)/(100)` ×
`(60)/(100)`

= 0.80 × 0.60

= 0.48 or 48%

`=(12)/(25)`

Hence, the probability that they will both be on time is 12/25.