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Deck of Cards Probability Explained
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?
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.
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:
- Option A is incorrect.
- Option B is incorrect.
- C is not correct.
- D is the correct answer.
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 /