A hat contains 5 balls - 3 red balls and 2 green balls 2 balls are drawn from th

Question

A hat contains 5 balls - 3 red balls and 2 green balls 2 balls are drawn from the hat with replacement. What is the probability that the first ball is a red and the second ball is red? P(Red_1, Red_2) Select one 1/5 or 0.2 6/25 = 0.24 3/5 or 0.6 9/25 = 0.36 The following table shows the survey results for a preference test on Coke and Pepsi. If a person is selected at random, what is the probability that the person prefers Coke give the person is female? Select one 5/11 or 0.455 16/31 or 0.516 50/217 or 0.230 25/56 or 0.446 Solve the following augmented matrix: [1 1 2 3| -1 -5] Select one: (-2, 3) (2, -3) (-2, -3)

Explanation / Answer

Q1) Probability that first ball is red and second balls is red = P( Red1 Red2) = P(red1)*P(Red2) = 3/5*3/5 = 9/25

Q2) P(Coke./Female) = P(Coke and female)/P(Female)= 50/112=25/56=0.446

Q3) The correct answer is (2,-3) since

1*2+1*(-3) = -1

and 2*2+3*(-3) = -5

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