On a certain day, the probability that the weather is rainy is 0.40, the probability that it is windy is 0.30, the probability that it is rainy and windy is 0.10. The probability that it is snowy given that it is rainy is 0.10, the probability that it is snowy given that it is not rainy is 0.05. Find the probability that the weather on this day is: 1) neither rainy nor windy. 2) rainy only or windy only. 3) not windy given that it is not rainy. 4) snowy. 5) rainy given that it is snowy.

$17.78; 26.67; 35.56

Step-by-step explanation:

Given the following information.:

Price of cab = $2 per mile , irrespective of the number of passengers.

Alice's destination = 20 miles

Ben's destination = 30 miles

Calvin's destination = 40 miles

If the three share a cab, the cab fee will be (cost per mile * number of miles of the farthest destination).

($2 * 40) = $80

Let price = a, for 20 miles

Ben's mile = 30 miles = 1.5 times Alice's miles, then Ben's pay = (1.5a)

Calvin's mile = 40 miles = 2 times Alice's miles, then Calvin's pay = (2a)

Thus,

a + 1.5a + 2a = $80

4.5a = $80

a = $80 / 4. 5

a = $17.78

Ben's pay = 1.5a = $26.67

Calvin's pay = 2a = $35.56