Math

QuestionFind the probability of independent events AA and BB given P(A)=0.2P(A)=0.2 and P(B)=0.7P(B)=0.7. Round to two decimal places. P(A and B)=P(A \text{ and } B)=

Studdy Solution

STEP 1

Assumptions1. Events A and B are independent events. . The probability of event A, denoted as(A), is0..
3. The probability of event B, denoted as(B), is0.7.

STEP 2

For independent events, the probability of both events A and B occurring, denoted as(A and B), is the product of their individual probabilities.
(A and B)=(A)×(B)(A \text{ and } B) =(A) \times(B)

STEP 3

Now, plug in the given values for(A) and(B) to calculate(A and B).
(A and B)=0.2×0.7(A \text{ and } B) =0.2 \times0.7

STEP 4

Calculate the value of(A and B).
(A and B)=0.2×0.7=0.14(A \text{ and } B) =0.2 \times0.7 =0.14The probability of both events A and B occurring is0.14.

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