If the probability that it rains on Thursday is 30% and the probabilit

arneguet9k

arneguet9k

Answered question

2021-11-16

If the probability that it rains on Thursday is 30% and the probability that it rains on Sunday is 20%, what is the probability that it does not rain on both days?

Answer & Explanation

Feas1981

Feas1981

Beginner2021-11-17Added 16 answers

Step 1
Given data:
The probability that it rains on Thursday is P(T)=30%=0.30.
The probability that it rains on Sunday is P(S)=20%=0.20.
The expression for the probability that it rains on both days is,
P(TS)=P(T)×P(S)
Substitute the given values in the above expression.
P(TS)=(0.30)(0.20)
=0.06
Step 2
The expression for the probability that it does not rain on both days is,
P(X)=1P(TS)
Substitute the above-calculated value in the expression.
P(X)=1(0.06)
=0.94
Thus, the probability that it does not rain on both days is 0.94.

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