Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(1.4) 5. A weather report states that it will rain in Davenport with a probabili

ID: 2945694 • Letter: #

Question

(1.4) 5. A weather report states that it will rain in Davenport with a probability of 25 percent, and another report says it will rain in both Davenport and Cedar Rapids with a probability of 11 percent. If another report states the probability of rain in Davenport or Cedar Rapids is 37 percent, then what is the probability of getting rain in Cedar Rapids? (1.5) 6. You randomly seleet three cards from a 52 card deck without replacement. Find: (a) The probability that all three cards are a club. (b) The chance that all three cards are a Queen. (c) The chance that all three cards are the same suit

Explanation / Answer

5:

P(Davenport) = 0.25

P(Devanport and Cedar Rapids) = 0.11

P(Devanport or Cedar Rapids) = 0.37

So the required probability is

P(Cedar Rapids)= P(Devanport or Cedar Rapids) +P(Devanport and Cedar Rapids) -P(Devanport) = 0.37+0.11-0.25 = 0.23