On a school night, the probability that a student watches television i

ffortunyu

ffortunyu

Answered question

2021-11-14

On a school night, the probability that a student watches television is 0.71. On a school night, the probability that a student watches television or does their homework is 0.84. On a school night, the probability that they watch television and does their homework is 0.68. On a school night, the probability, to the nearest hundredth, that the student will do homework is:

Answer & Explanation

Rosemary McBride

Rosemary McBride

Beginner2021-11-15Added 10 answers

Step 1
Given data:
Given that On a school night, the probability that a student watches television is 0.71.
On a school night, the probability that a student watches television or does their homework is 0.84.
On a school night, the probability that they watch television and does their homework is 0.68.
Let P(A) be the probability that a student watches television
Let P(B) be the probability that a student do their homework
We know that,
P(A or B)=P(A)+P(B)P(A and B)
P(B)=P(A or B)+P(A and B)P(A)
=0.84+0.680.71
=0.81
Thus, the probability that the student will do homework is 0.81

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