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Question 2.6. DO NOT GET ADDICTED TO VIDEO GAMES) An engineer designed a video c

ID: 3312483 • Letter: Q

Question

Question 2.6. DO NOT GET ADDICTED TO VIDEO GAMES) An engineer designed a video came for kids. Inside the program he used five distinct birds, namely: Bluebird, Cardinals, Dov Eagle, and Flamingo. The engineer allows only three birds selection is made on purely random basis using a random number table. to appear on the screen in a row and Bluebird Cardinal Dove Eagle Fig. 2.6. Birds in the game. Flamingo Amy plays the game on a computer, and she wonders: (a) What is the probability that same Bluebird will appear three times on the screen? Fig. 2.7. Amy (b) What is the probability that same bird will appear three times? (c) Assume the engineer did not allow for the same bird to appear three times, what is the probability that Bluebird, Dove and Flamingo will appear on the screen at the first, second and third places?

Explanation / Answer

A) probability = (1/5)3 = 1/125 = 0.008

B) probability = 5 * (1/5)3 = 5 * (1/125) = 0.04

C) probability = BDF + BFD + DFB + DBF + FDB + FBD + BBF + + BFB + FBB + BBD + BDB + DBB + DDB + DBD + BDD + DDF + DFD + FDD + FFB + FBF + BFF + FFD + FDF + DFF = 24 * (1/5)3 = 0.192

D) probability = BFD + BBD + BBF + DDB + DDF + FFB + FFD = 7 * (1/5)3 = 0.056

E) probability = BFD + FBD + DBF + DFB + BDF + FDB = 6 * (1/5)3 = 0.048

F) probability = (1/5)3 = 0.008

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