14. probability - Gujarat Board (GSEB) STD 11 Science MATHS Questions

461

Questions

1

Question groups

5

Question types

01

MCQ

461 Q→

Sample Questions

14. probability questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark

There are $n$ letters and $n$ addressed envelopes. The probability that all the letters are not kept in the right envelope, is

A
$\frac{1}{{n\,!}}$
✓
$1 - \frac{1}{{n\,!}}$
C
$1 - \frac{1}{n}$
D
None of these

Answer: B.

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Q 2MCQ1 Mark

A problem of mathematics is given to three students whose chances of solving the problem are $\frac{{1}}{{3}} , \frac{{1}}{{4}}$ and $\frac{{1}}{{5}}$ respectively. The probability that the question will be solved is

A
$\frac{2}{3}$
B
$\frac{3}{4}$
C
$\frac{4}{5}$
✓
$\frac{3}{5}$

Answer: D.

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Q 3MCQ1 Mark

A man and a woman appear in an interview for two vacancies in the same post. The probability of man's selection is $1/4$ and that of the woman's selection is $1/3$. What is the probability that none of them will be selected

✓
$\frac{1}{2}$
B
$\frac{1}{{12}}$
C
$\frac{1}{4}$
D
None of these

Answer: A.

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Q 4MCQ1 Mark

Three persons work independently on a problem. If the respective probabilities that they will solve it are $\frac{{1}}{{3}} , \frac{{1}}{{4}}$ and $\frac{{1}}{{5}}$, then the probability that none can solve it