Engineering
Mathematics
Conditional Probability
Question

The probability of raining on day 1 is 0.2 and on day 2 is 0.3. The probability of raining on both the days is

0.2

0.1

0.06

0.25

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Solution
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Step -1: Calculate the probability of raining on both day.

The probability of raining on day1, P(1) = 0.2

The Probability of raining on day 2, P(2) = 0.3

Raining on both day are independent of each other.

So, the probability of raining on both days =P(1∩2)

= P(1).P(2)

= 0.2 × 0.3

= 0.06

Hence, option C is correct.

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