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Two balls are drawn in succession out of a box containing red and white balls. Find the probability that at least 1 ball was​ red, given that the first ball was replaced before the second draw. Not replaced before the second draw.

Sagot :

The probability that at least 1 ball was red, given that the first ball was replaced before the second draw is 28.5%; and the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw is 22.5%.

What is probability?

  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the probability that at least 1 ball was​ red, given that the first ball was replaced before the second draw. Not replaced before the second draw:

  • 2 + 5 = X
  • 7 = X
  • (2/7 + 2/7) /2 = X
  • (0.285 + 0.285) /2 = X
  • 0.285 = X
  • (2/7 + 1/6 ) /2 = X
  • (0.28 + 0.16) /2 = X
  • 0.451/2 = X
  • 0.225 = X

Therefore, the probability that at least 1 ball was red, given that the first ball was replaced before the second draw is 28.5%; and the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw is 22.5%.

Know more about probability here:

https://brainly.com/question/251701

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The complete question is given below:

Two balls are drawn in succession out of a box containing 2 red and 5 white balls. Find the probability that at least 1 ball was​ red, given that the first ball was (Upper A )Replaced before the second draw. (Upper B )Not replaced before the second draw.