Math

QuestionFind the probability that independent events KK and JJ occur, given P(K)=0.40P(K)=0.40 and P(J)=0.20P(J)=0.20.

Studdy Solution

STEP 1

Assumptions1. KK and JJ are independent events. . The probability that KK will occur is (K)=0.40(K)=0.40.
3. The probability that JJ will occur is (J)=0.20(J)=0.20.

STEP 2

For independent events, the probability that both events will occur is the product of their individual probabilities. This can be represented mathematically as(KJ)=(K)×(J)(K \cap J) =(K) \times(J)

STEP 3

Now, we can plug in the given values for (K)(K) and (J)(J) into the formula.
(KJ)=0.40×0.20(K \cap J) =0.40 \times0.20

STEP 4

Calculate the probability that both KK and JJ will occur.
(KJ)=0.40×0.20=0.08(K \cap J) =0.40 \times0.20 =0.08The probability that both KK and JJ will occur is0.08.

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