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IPMAT Rohtak 2019 (QA) PYQs

IPMAT Rohtak 2019

Modern Math
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Probability

Medium

A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?

Correct Option: 1
Total balls = 4+5+6=154 + 5 + 6 = 15 balls \newline Total ways to draw 2 balls = 15C2=105^{15}C _2= 105 ways
For one ball to be white: \newline White and Blue: 5×4=205 \times 4 = 20 ways \newline White and Green: 5×6=305 \times 6 = 30 ways
Total favorable outcomes = 20+30=5020 + 30 = 50 ways
Probability = 50105=1021\frac{50}{105} = \frac{10}{21}
Therefore, probability that one ball is white = 1021\frac{10}{21}

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