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Probability — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSProbability2 Marks
Question
A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
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Answer

The box contains one red ball and three black balls. Let us denote the red ball as $R$ and the three black balls as $B_1, B_2$ and $B_3$. The sample space of this experiment is given by, $S=\left\{\left(R, B_1\right),\left(R, B_2\right),\left(R, B_3\right),\left(B_1, R\right),\left(B_1, B_2\right),\left(B_1, B_3\right),\left(B_2, B_1\right)\right.$, $\left.\left(B_2, B_3\right),\left(B_2, R\right),\left(B_3, R\right),\left(B_3, B_1\right),\left(B_3, B_2\right)\right\}$.

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