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Probability - ISC Class 12 Mathematics Questions with Answers, Page 2
92 past-paper questions on Probability from ISC Class 12 Mathematics papers (2027-2017), newest first, in full. Questions 21-40 are on this page, 20 to a page. Tap "Show answer" under a question to see its answer.
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- (a)Both the statements are true.
- (b)Both the statements are false.
- (c)Statement I is false, and statement II is true.
- (d)Statement I is true, and statement II is false.
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- (a)$\frac{1}{4}$
- (b)$\frac{1}{6}$
- (c)$\frac{1}{8}$
- (d)$\frac{1}{12}$
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| Face | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Probability | 0.10 | 0.24 | 0.19 | 0.18 | 0.15 | 0.14 |
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Assertion: If $E_1$ and $E_2$ are two mutually exclusive events associated with a random experiment and $E$ is an event such that $P(E) \neq 0$, then $P\left(\frac{E_1 \cup E_2}{E}\right) = P\left(\frac{E_1}{E}\right) + P\left(\frac{E_2}{E}\right)$.
Reason: For two mutually exclusive events $E_1$ and $E_2$, $P(E_1 \cap E_2) = 0$.
- (a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation for Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (A) is not the correct explanation for Assertion (A).
- (c)Assertion (A) is true, and Reason (R) is false.
- (d)Assertion (A) is false, and Reason (R) is true.
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| $X$ | $30$ | $10$ | $-10$ |
|---|---|---|---|
| $P(X)$ | $\frac{1}{5}$ | $\frac{3}{10}$ | $\frac{1}{2}$ |
- (a)$1$
- (b)$4$
- (c)$2$
- (d)$30$
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- (a)$\frac{3}{8}$
- (b)$\frac{1}{8}$
- (c)$\frac{5}{8}$
- (d)$\frac{3}{4}$
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Assertion: Consider the two events $A$ and $B$ such that $n(A) = n(B)$ and $P(A/B) = P(B/A)$.
Reason: The events $A$ and $B$ are mutually exclusive.
- (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
- (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
- (c)Assertion is true and Reason is false.
- (d)Assertion is false and Reason is true.
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- (a)$\frac{3}{4}$
- (b)$\frac{7}{48}$
- (c)$\frac{11}{96}$
- (d)$\frac{9}{96}$
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- (a)$\frac{5}{12}$
- (b)$\frac{7}{12}$
- (c)$\frac{5}{6}$
- (d)$\frac{1}{3}$
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