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aivan3 [116]
3 years ago
9

Find the missing probability. P(A) = 0.4; P(B) = 0.7; P(A or B) ; P(A and B) = 0.3

Mathematics
1 answer:
solong [7]3 years ago
4 0

Given:

P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3

To find:

The value of P(A\text{ or }B).

Solution:

We know that,

P(A\text{ and }B)=P(A\cap B)

P(A\text{ or }B)=P(A\cup B)

It means, we have P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3 and we need to find the value of  P(A\cup B).

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=0.4+0.7-0.3

P(A\cup B)=1.1-0.3

P(A\cup B)=0.8

Therefore, the value of P(A\text{ or }B) is 0.8.

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