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Nuetrik [128]
3 years ago
5

Events A and B are independent. Find the missing probability. Enter your answer as a decimal rounded to two places.

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

ANSWER

P(not \: B) =  \frac{1}{4}

EXPLANATION

If A and B are independent events, then

P(A and B)=P(A)×P(B)

\frac{3}{10}  =  \frac{2}{5}  \times  \: P(B)

Multiply both sides by;

\frac{5}{2}

\frac{5}{2}  \times  \frac{3}{10}  =   \frac{5}{2}  \times \frac{2}{5}  \times  \: P(B)

\frac{3}{4}  =P(B)

P(not \: B) = 1 - P(B)

P(not \: B) = 1 - \frac{3}{4}

P(not \: B) =  \frac{1}{4}

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