A hat contains 3 marbles; one red, one yellow, and one blue. Two marbles are sel

Question

A hat contains 3 marbles; one red, one yellow, and one blue. Two marbles are selected at random without replacement from the hat. Answers parts a though d.
a. determine the number of points in the sample space b. determine the probability of selecting exactly 1 blue marble c. Determine the probability of selecting at least 1 marble that is not blue d. Determine the probability of selecting no yellow marbles




A hat contains 3 marbles; one red, one yellow, and one blue. Two marbles are selected at random without replacement from the hat. Answers parts a though d.
a. determine the number of points in the sample space b. determine the probability of selecting exactly 1 blue marble c. Determine the probability of selecting at least 1 marble that is not blue d. Determine the probability of selecting no yellow marbles




A hat contains 3 marbles; one red, one yellow, and one blue. Two marbles are selected at random without replacement from the hat. Answers parts a though d.
a. determine the number of points in the sample space b. determine the probability of selecting exactly 1 blue marble c. Determine the probability of selecting at least 1 marble that is not blue d. Determine the probability of selecting no yellow marbles

Explanation / Answer

a] Number of points in the sample space = 3C2 = 3*2/2 = 3

Total number of balls = 3

we have to choose 2 so it is 3C2 = 3

b] There are 2 cases where a red marble is chosen (RB, BY)

So answer is --> 2/3

c] You can't draw 2 of the same color, so the only outcome has cases where 1 marble is not blue

Probability = 3/3 = 1

d] Probability of selecting no yellow marbles is only one way that is ( RB)

So answer is ---> 1/3

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