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A bag contains 4 white balls and 6 red balls…

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Deck of Cards Probability Explained

Deck of Cards Probability Explained
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A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?

A. 3/5

B. 1/5

C. 2/15

D. 1/3

QUICK ANSWER…

D

DETAILS…

We’re going to determine the probability for each ball picked, and then multiply both to find the probability that they are both red.

For the first pick:

Probability of picking red = 6/(6 + 4) = 6/10 = 3/5

For the second pick:

Recall that there was no replacement, hence, this implies that there will remain 4 white balls and 5 red balls.

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So, probability of picking a second red ball = 5/(5 + 4) = 5/9

Finally, the probability that both picks are red = probability of first pick × probability of second pick = 3/5 × 5/9 = 3/9 = 1/3

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is not correct.
  4. D is the correct answer.

KEY-POINTS…

You may please note these/this:

  • There was no replacement, this means after the first pick, the number of red balls in the bag reduced by one.
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/ culled from 2020 JAMB-UTME mathematics past question 26 /

1 Answers

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