SOLUTION: The probability of rain on first 3 days of august is as follows: Day probability gain first day 3/10 2nd day

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Question 1191346: The probability of rain on first 3 days of august is as follows:
Day probability gain
first day 3/10
2nd day if rain on day 1 is 5/10
if no rain of day 1 is 2/10
3rd day if rain on day 1 and day 2 are 9/10
if rain on day 1 only is 5/10
if rain on day 2 only is 3/10
if no rain on day 1 and day 2 are 5/10
1.what is the probability of rain on all 3 days?
2.what is the probability of rain on 2nd day only?
Answer by ikleyn(52798) About Me  (Show Source):
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The probability of rain on first 3 days of august is as follows:
Day probability highlight%28cross%28gain%29%29 rain
first day 3/10
2nd day if rain on day 1 is 5/10
if no rain of day 1 is 2/10
3rd day if rain on day 1 and day 2 are 9/10
if rain on day 1 only is 5/10
if rain on day 2 only is 3/10
if no rain on day 1 and day 2 are 5/10
1.what is the probability of rain on all 3 days?
2.what is the probability of rain on 2nd day only?
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(1)  P = write as you read the problem = %283%2F10%29%2A%285%2F10%29%2A%289%2F10%29 = 135%2F1000 = 0.135.    ANSWER



(2)  P = P(no rain 1st day)*P(rain on day 2)*P(no rain on day 3) = write as you read the problem = %287%2F10%29%2A%282%2F10%29%2A%283%2F10%29 = 42%2F1000 = 0.042.    ANSWER

Solved.