Suppose we have a bag containing 200 marbles, where 120 are Red, 25 are Blue, 30

Question

Suppose we have a bag containing 200 marbles, where 120 are Red, 25 are Blue, 30 are Black, and the rest are Green. Use this information to answer the next 4 questions. 2. If selecting one marble, what is the probability of NOT selecting a Green marble? a. 0.8750 b. 175 c. 0.18 d. 0.125 3. If selecting one marble, what is the probability that the marble is either Blue or Black? a. 0.0188 b. 0.1375 c. 0.275 d. 55 4. If selecting three marbles with replacement, what is the probability that the first two marbles are Red, and the third marble is Green? a. 0.315 b. 0.045 c. 1.325 d. 0.4417 s. If selecting three marbles with replacement, what is the probability of getting at least one Blue marble? a. 0.00195 b. 0.998 c. 0.33 d. 0.6699

Explanation / Answer

2. P(Not a green marble) = 1 - P(Green marble) = 1 - 25/200 = 0.875

3. P(Either blue or black) = (25 + 30)/200 = 55/200 = 0.275

4. P(First two red and third green) = (120/200)*(120/200)*(25/200) = 0.045

5. P(Atleast one blue marble) = 1 - P(No blue marble) = 1 - (175/200)3 = 0.33

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