the probability of event a is 0.48, the probability of event a and b is 0.21, and the probability of events…

the probability of event a is 0.48, the probability of event a and b is 0.21, and the probability of events a or b is 0.89. what is the probability of event b? 0.09 0.20 0.27 0.62

the probability of event a is 0.48, the probability of event a and b is 0.21, and the probability of events a or b is 0.89. what is the probability of event b? 0.09 0.20 0.27 0.62

Answer

Answer:

D. 0.62

Explanation:

Step1: Recall the formula

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

Step2: Rearrange the formula for $P(B)$

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

Step3: Substitute the given values

$P(B)=0.89 + 0.21-0.48$

Step4: Calculate the result

$P(B)=1.1 - 0.48=0.62$