In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63, and the probability that UTC will defeat Furman is 0.55. The probability that UTC will defeat both opponents is 0.3465.
a.What is the probability that UTC will defeat Furman given that they defeat Marshall?b.What is the probability that UTC will win at least one of the games?c.What is the probability of UTC winning both games?d.Are the outcomes of the games independent? Explain and substantiate your answer.
What will be an ideal response?
?
| a. | 0.55 |
| b. | 0.8335 |
| c. | 0.3465 |
| d. | Yes. Because probability of UTC defeating both opponents is equal to the probability of UTC defeating Marshall x the probability of UTC defeating Furman. |
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