DGC = 415 Exercise 3.5. (DO NOT GET ADDICTED TO VIDEO GAMES) An engineer designe
ID: 3364968 • Letter: D
Question
DGC = 415
Exercise 3.5. (DO NOT GET ADDICTED TO VIDEO GAMES) An engineer designed a video game for kids. Inside the program he Bluebirds, three Cardinals and one Dove. The engineer allows screen in a row on purely random basis using a random number table. used six birds, namely: two all the six birds to appear on the Bluebird Bluebird Cardinal Cardinal Cardinal Dove Fig. 3.5(a). 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? Cadflvals os eh erovubiliy that two Blucbirds together and thre (d) What is the probability that either two Bluebirds together or three Cardinals together will appear? Ans: Fig. 3.5(b). Amy
Explanation / Answer
Ans
Total number of cases = 6!/3!*2! = 120
a) P(2 B together) = 5!/3! = 20/120 = 0.167
b) P(3 C together) = 4!/2! = 12/120 = 0.1
c) P(2 B and 3C together) = 3! = 6 /120 = 0.05
d) P(either 2 B or 3 C) = P(2 B together) + P(3 C together) - 2*P(2 B and 3C together) = 0.167+ 0.1 - 0.1 = 0.167
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