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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 1 · Set 1 · Q5
Two balls are drawn at random from a bag containing 2 red balls and 3 blue balls, without replacement. Let the variable X denotes the number of red…
Two balls are drawn at random from a bag containing $\displaystyle 2$ red balls and $\displaystyle 3$ blue balls, without replacement. Let the variable X denotes the number of red balls. Find the probability distribution of X.
Marking-scheme solution
| \(\displaystyle X\) | $\displaystyle 0$ | $\displaystyle 1$ | $\displaystyle 2$ |
| \(\displaystyle P(X)\) | \(\displaystyle \frac{3}{5} \times \frac{2}{4}=\frac{3}{10}\) | \(\displaystyle 2\left(\frac{2}{5} \times \frac{3}{4}\right)=\frac{6}{10}\) | \(\displaystyle \frac{2}{5} \times \frac{1}{4}=\frac{1}{10}\) |
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CBSE Class 12 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.