Box 1 contains 30 red and 70 white
balls; box 2 contains 50 red and 50 white balls, and box 3 contains 75 red and 25 white balls. The three boxes are all emptied into a large box, and a ball is selected at random. If the selected ball is red, what is the probability that it came from box 1?
Answers
Answer:
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Step-by-step explanation:
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Answer:
The probability of red ball that came from box 1 is 6/31
Step-by-step explanation:
Probability:
The ratio of good outcomes to all possible outcomes of an event is known as the probability.
Probability formula:
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes
Given that,
Box 1 contains 30 red and 70 white balls.
Box 2 contains 50 red and 50 white balls
Box 3 contains 75 red and 25 white balls
Total number of red balls = 30 + 50 + 75
= 155
Total number of white balls = 70 + 50 +25
= 145
The three boxes are all emptied into a large box and the ball is selected at the random wise.
If the selected ball is red, then
the probability that came from the box 1
= Number of Red balls in Box 1 / Total number of red balls
= 30 / 155
= 6 / 31
Final answer:
The probability of red ball that came from box 1 is 6/31.
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