A bag contains 10 red balls and 15 blue balls. Two balls are drawn randomly…
2024
A bag contains 10 red balls and 15 blue balls. Two balls are drawn randomly without replacement. Given that the first ball drawn is red, the probability (rounded off to 3 decimal places) that both balls drawn are red is _________
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Show answer & explanation
Correct answer: 0.37 to 0.38
Answer: 0.375 (rounded to 3 decimal places)
Explanation:
Initially there are 10 red balls and 15 blue balls, so 25 balls in total.
Given the first ball drawn is red, there are now 9 red balls left and 24 balls in total.
The probability the second ball is red (so both draws are red) is 9/24 = 3/8 = 0.375.
Rounded to three decimal places, the probability is 0.375.
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