| 1. |  |
a. P(H,H,H) = 0.5 x 0.5 x 0.5 = 0.125 b. P(2 heads) = 0.125 x 3 = 0.375 c. P(at least one head0 = P(No tails) d. P(2 tails, H) = 0.25 |
| 2. |  |
P(fault in first year) = 0.5 x 0.3 + 0.15 x 0.15 + 0.35 x 0.1 = 0.15 + 0.0225 + 0.035 = 0.2075 |
| 3. |  |
P(only 2 marbles are blue) = P(b, b, r) + P(b, r, b) + P(r, b, b)
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| 4. |  |
P(only 2 marbles are blue) = P(b, b, r) + P(b, r, b) + P(r, b, b)
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| 5. | a. |
b. P(b, r) = 0.2 c. P(no blues) = 0.2 d. P(one red only) = 8/15 e. P(at least one red) = 0.6
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| 6. | a. |
b. P(wins $8) = 1 / 72 c. P(wins $3) = 5 / 72 d. P(lose on 2nd throw) = 5 / 12
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