CA Foundation Exam > CA Foundation Questions > If events A and B are independent and P(A)= 2...
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If events A and B are independent and P(A)= 2/3 , P(B)= 3/5 then P(A+B)is equal to
- a)13/15
- b)6/15
- c)1/15
- d)none
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If events A and B are independent and P(A)= 2/3 , P(B)= 3/5 then P(A+B...
Given:
- Events A and B are independent
- P(A)= 2/3
- P(B)= 3/5
To find:
- P(A ∩ B)
Approach:
- Use the formula for the probability of the intersection of independent events
- Substitute the given values
- Simplify the expression
Formula:
- P(A ∩ B) = P(A) * P(B)
Calculation:
- P(A ∩ B) = P(A) * P(B)
- P(A ∩ B) = (2/3) * (3/5)
- P(A ∩ B) = 6/15
- P(A ∩ B) = 2/5
Answer:
- The correct option is A) 13/15.
- Events A and B are independent
- P(A)= 2/3
- P(B)= 3/5
To find:
- P(A ∩ B)
Approach:
- Use the formula for the probability of the intersection of independent events
- Substitute the given values
- Simplify the expression
Formula:
- P(A ∩ B) = P(A) * P(B)
Calculation:
- P(A ∩ B) = P(A) * P(B)
- P(A ∩ B) = (2/3) * (3/5)
- P(A ∩ B) = 6/15
- P(A ∩ B) = 2/5
Answer:
- The correct option is A) 13/15.
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Community Answer
If events A and B are independent and P(A)= 2/3 , P(B)= 3/5 then P(A+B...
P(A+B)=P(A union B)
when events are independent
P(A intersection B) = P(A).P(B)=2/3*3/5=6/15
P(A union B) =P(A)+P(B)- P(A intersection B)
=2/3+3/5-6/15=13/15
when events are independent
P(A intersection B) = P(A).P(B)=2/3*3/5=6/15
P(A union B) =P(A)+P(B)- P(A intersection B)
=2/3+3/5-6/15=13/15
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If events A and B are independent and P(A)= 2/3 , P(B)= 3/5 then P(A+B)is equal toa)13/15b)6/15c)1/15d)noneCorrect answer is option 'A'. Can you explain this answer?
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