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If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10
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If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Fin...
Gn that p(B) =1/3,p(AUB) =2/5P(AnB) =p(A) *p(B) =x*1/3P(AUB)=p(a) +p(B) -p(AnB) 2/5=x+1/3-x/32/5-1/3=3x-x/36-5/15=2x/31/5=2xX=1/10=p(A)
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If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Fin...
Problem: If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)?
Solution:
To solve the problem, we can use the formula for the probability of the union of two events:
p(AUB) = p(A) + p(B) - p(AnB)
where p(AnB) is the probability of the intersection of A and B.
Since A and B are independent events, we know that:
p(AnB) = p(A) x p(B)
Substituting the given values, we get:
2/5 = p(A) + 1/3 - p(A) x 1/3
Multiplying both sides by 3, we get:
6/5 = 3p(A) + 1 - p(A)
Simplifying, we get:
6/5 = 2p(A) + 1
2/5 = 2p(A)
p(A) = 1/5
Therefore, the answer is option (c) 2/10.
Answer: The probability of event A is 2/10 or 1/5.
Solution:
To solve the problem, we can use the formula for the probability of the union of two events:
p(AUB) = p(A) + p(B) - p(AnB)
where p(AnB) is the probability of the intersection of A and B.
Since A and B are independent events, we know that:
p(AnB) = p(A) x p(B)
Substituting the given values, we get:
2/5 = p(A) + 1/3 - p(A) x 1/3
Multiplying both sides by 3, we get:
6/5 = 3p(A) + 1 - p(A)
Simplifying, we get:
6/5 = 2p(A) + 1
2/5 = 2p(A)
p(A) = 1/5
Therefore, the answer is option (c) 2/10.
Answer: The probability of event A is 2/10 or 1/5.
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If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10
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If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10 for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10 covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10.
If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10 for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10 covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A and B are two independent events and p(AUB)=2/5 and p(B)=1/3. Find p(A)? a. 2/9 b. -1/9 c. 2/10 d. 1/10.
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