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On the planned day of a picnic, there is a 40% chance of rain.
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08 Feb 2024, 00:03
08 Feb 2024, 00:03
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Question Stats:
50% (00:59) correct
50% (02:45) wrong based on 2 sessions
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On the planned day of a picnic, there is a 40% chance of rain. If it rains, there is a 90% chance that the picnic will be canceled, but if it doesn't rain, there is a 95% chance that the picnic will take place. What is the chance that the picnic will take place?
A. 47%
B. 49%
C. 53%
D. 61%
E. 73%
A. 47%
B. 49%
C. 53%
D. 61%
E. 73%
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Re: On the planned day of a picnic, there is a 40% chance of rain.
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10 Feb 2024, 08:50
10 Feb 2024, 08:50
my answer came out to be 0.57 , can anybody explain why the the answer here is 0.61
Re: On the planned day of a picnic, there is a 40% chance of rain.
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10 Feb 2024, 09:46
10 Feb 2024, 09:46
Expert Reply
the Probability (for Rains) = 0.4...............(1)
the Probability (for No Rain) = 0.6............(2)
Probability (picnic cancelled in case of rains) = 0.9..............(3)
hence, Probability (picnic conducted in case of rains) = 0.1...(4)
also, Probability (picnic conducted in case of no rains) = 0.95...(5)
Probability (picnic conducted) = 0.4*0.1 + 0.6*0.95
= 0.04 + 0.57
= 0.61 (or, 61%)...Hence (D)
the Probability (for No Rain) = 0.6............(2)
Probability (picnic cancelled in case of rains) = 0.9..............(3)
hence, Probability (picnic conducted in case of rains) = 0.1...(4)
also, Probability (picnic conducted in case of no rains) = 0.95...(5)
Probability (picnic conducted) = 0.4*0.1 + 0.6*0.95
= 0.04 + 0.57
= 0.61 (or, 61%)...Hence (D)
