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Exercise 3.5. (DO NOT GET ADDICTED TO VIDEO GAMES An engineer designed a vid Blu

ID: 3311151 • Letter: E

Question

Exercise 3.5. (DO NOT GET ADDICTED TO VIDEO GAMES An engineer designed a vid Bluebirds, three Cardinals and one Dove. The engineer allows all the six birds to appear on the screen in a row on purely random basis using a random number table. DGC 86 Bluebird Bluebird Cardinal Cardinal Cardinal Dove Fig. 3.5a). Birds in the game Amy plays the game on a computer, and she wonders: ( a) What is the probability that two Bluebirds will appear together? (b) What is the probability that three Cardinals will appear together? (c) What is the probability that two Bluebirds together and three Cardinals together will appear? (d) What is the probability that either two Bluebirds together or three Cardinals together will appear? Ans: Fig. 3.5(b). Amy

Explanation / Answer

A) P(two blue birds will appear together) = 2C2/6C2 = 0.067

B) P(three Cardinals will appear together) = 3C3/6C3 = 0.05

C) P(two blue birds and three Cardinals will appear together) = 2C2 * 3C3/6C5 = 0.167

D) P(two blue birds or three Cardinals appear together) = P(two blue birds) + P(three Cardinals) - P(Two blue or three Cardinals)

= 2C2/6C2 + 3C3/6C3 - 0

= 0.1167