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A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is?
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A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 ...
Introduction:
To find the probability of drawing one red and one black ball from two different bags, we need to calculate the probability of two events happening: drawing a red ball from one bag and a black ball from the other bag.
Given Information:
- Bag 1 contains 4 red and 5 black balls.
- Bag 2 contains 5 red and 3 black balls.
Probability of drawing a red ball from Bag 1:
The probability of drawing a red ball from Bag 1 can be calculated using the formula:
P(Red from Bag 1) = Number of red balls in Bag 1 / Total number of balls in Bag 1
P(Red from Bag 1) = 4 / (4 + 5) = 4/9
Probability of drawing a black ball from Bag 2:
The probability of drawing a black ball from Bag 2 can be calculated using the formula:
P(Black from Bag 2) = Number of black balls in Bag 2 / Total number of balls in Bag 2
P(Black from Bag 2) = 3 / (5 + 3) = 3/8
Probability of drawing one red and one black ball:
To find the probability of drawing one red and one black ball, we need to multiply the probabilities of the two events happening.
P(One red and one black ball) = P(Red from Bag 1) * P(Black from Bag 2)
P(One red and one black ball) = (4/9) * (3/8) = 12/72 = 1/6
Conclusion:
The probability of drawing one red and one black ball from the two bags is 1/6.
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A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is?
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A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is? 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 A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is?.
A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is? 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 A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability that one red and one black ball drawn is?.
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