Question 1) Suppose you just received a shipment of 20 SONY Play Stations, and f

Question

Question 1) Suppose you just received a shipment of 20 SONY Play Stations, and for some reas working. If you select two Play Stations are random, what is the probability that 3 of the 20 are not Both work e Exactly one works and one does not Question 2) Suppose you flip a coin and then roll a die, and then record what you get. What is the probability you flip heads and roll and even What is the probability that you flip tails or roll a 6 What is the probability that you flip heads or roll an odd number

Explanation / Answer

Solution:

question 1:

given, total number of play stations = 20

number of play stations not working = 3

the probability that both work =( 17c2 ) / 20c2 = 136 / 190 = 0.7157

the probability that one work and othe doesnot = ( 17 * 3 ) / 20c2 = 51 / 190 = 0.2684

Question 2

Given that a coin is fliped and a fair die is rolled

probability of flipping a head and rolled a even number = ( 1 / 2) * ( 3 / 6 ) = 0.5 *0.5 = 0.25

probability of flipping tail and rolling a 6 = ( 1 / 2 ) * ( 1 / 6 ) = ( 1 / 12 ) = 0.08333

probability of flipping a head and rolled a odd number = ( 1 / 2) * ( 3 / 6 ) = 0.5 *0.5 = 0.25

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