If A and B are independent events with P(A) = 0.65 and P(A ∩ B)
= 0.26, then P(B) = _____________
SHOW ALL WORK!
Answer
General guidance
Concepts and reason
The problem deals with the concept of probability of independent events. The two events are said to be independent of each other when one event occurs then it does not affect the second event. For example: tossing a coin.
Fundamentals
The formula of the probability for the two independent two event is:
Here 
are two independent events.
Step-by-step
Step 1 of 2
The probability of occurring of event 
is
.
The probability of intersection of the two events is 
Therefore the probabilities are as and .
Step 2 of 2
Since the probability for the two independent two event is as:
Then the probability of the event 
will be,
Therefore, the probability of the event is
.
Using the formula of the probability for the two independent two event the probability of the event is
.
Answer
Therefore, the probability of the event is.
Answer only
Therefore, the probability of the event is.
P(ANB)=P(A).P(B)
A&B
P(A)=0.65
A&B
P(ANB)=0.26
P(A)=0.65
P(ANB)=0.26
P(ANB)=P(A).P(B)
P(B)=P(ANB) P(A) 0.26 0.65 = 0.4
P(B)=0.4
We were unable to transcribe this image