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The probability of rain showers in Barcelona on any given day is 0.4.
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20 Oct 2021, 09:15
20 Oct 2021, 09:15
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Question Stats:
58% (01:18) correct
41% (00:59) wrong based on 24 sessions
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The probability of rain showers in Barcelona on any given day is 0.4. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
A. 0.144
B. 0.072
C. 0.432
D. 0.72
E. 0.288
A. 0.144
B. 0.072
C. 0.432
D. 0.72
E. 0.288
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Re: The probability of rain showers in Barcelona on any given day is 0.4.
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20 Oct 2021, 09:40
20 Oct 2021, 09:40
Carcass wrote:
The probability of rain showers in Barcelona on any given day is 0.4. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
A. 0.144
B. 0.072
C. 0.432
D. 0.72
E. 0.288
A. 0.144
B. 0.072
C. 0.432
D. 0.72
E. 0.288
Key concept: P(Event A happening) = 1 - P(Event A not happening)
If P(rain) = 0.4, then P(no rain) = 1 - 0.4 = 0.6
P(rain exactly once) = P(rain day 1 AND no rain day 2 AND no rain day 3 OR no rain day 1 AND rain day 2 AND no rain day 3 OR no rain day 1 AND no rain day 2 AND rain day 3)
= (0.4 x 0.6 x 0.6) + (0.6 x 0.4 x 0.6) + (0.6 x 0.6 x 0.4)
= 0.096 + 0.096 + 0.096
= 0.288
Answer: E
Re: The probability of rain showers in Barcelona on any given day is 0.4.
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09 Nov 2021, 18:40
09 Nov 2021, 18:40
multiplication of (0.4 x 0.6 x 0.6)=0.144
