In the town of Killjoy, the probability that it would rain on a particular day given it is a holiday is 0.8 and in that town 25% of days are holidays. What is a probability that a randomly selected day would both be a holiday and have rain?
Answers
Answer:
Ok, so in the aptly named town of Killjoy, there's a 0.8 chance it will rain and 1/4 (25/100) chance of it being holiday.
Thus by multiplying both probabilities, we get the probability of it being both rainy and a holiday.
Thus probability of it being both rainy and a holiday = 0.8 x 1/4 = 0.2 = 20%
Thus there is a 20% chance that it will both rain and be a holiday, which is downright depressing.
Given : In the town of Killjoy, the probability that it would rain on a particular day given it is a holiday is 0.8 and
in that town 25% of days are holidays.
To Find : The probability if a randomly selected day would both be a holiday and have rain?
Solution:
25% of days are holidays.
Hence probability of Holiday = 25/100 = 1/4
probability that it would rain on a particular day given it is a holiday is 0.8
Hence probability of Rain on that day = 0.8
As both are independent events
Hence Probability of both = (1/4)(0.8)
= 0.2
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