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question 2 events a and b are independent events. find the indicated pr…

Question

question 2
events a and b are independent events. find the indicated probability.
p(a)=0.7
p(b)=0.9
p(a and b)=0.36

Explanation:

Step1: Recall formula for independent events

For independent events $A$ and $B$, $P(A\text{ and }B)=P(A)\times P(B)$.

Step2: Substitute given values

Substitute $P(A) = 0.7$ and $P(B)=0.9$ into the formula: $P(A\text{ and }B)=0.7\times0.9$.

Step3: Calculate the result

$0.7\times0.9 = 0.63$.

Answer:

$0.63$