STD 12 - 13. probability - CBSE STD 12 Science Mathematics Questions

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01

M.C.Q (1 Marks)

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Sample Questions

STD 12 - 13. probability questions

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

Q 1M.C.Q (1 Marks)1 Mark

For a biased die, the probabilities for different faces to turn up are

$Face :$	$1$	$2$	$3$	$4$	$5$	$6$
$P(F)$	$0.2$	$0.22$	$0.11$	$0.25$	$0.05$	$0.17$

The die is tossed and you are told that either face $4$ or face $5$ has turned up. The probability that it is face $4$ is

A
$\frac{1}{6}$
B
$\frac{1}{4}$
✓
$\frac{5}{6}$
D
None of these

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark

If $A$ and $B$ are two independent events such that $P\,(A) = \frac{1}{2},\,\,P(B) = \frac{1}{5},$ then

A
$P\,\left( {\frac{A}{B}} \right) = \frac{1}{2}$
B
$P\,\left( {\frac{A}{{A \cup B}}} \right) = \frac{5}{6}$
C
$P\,\left( {\frac{{A \cap B}}{{A' \cup B'}}} \right) = 0$
✓
All of the above

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark

For two events $A$ and $B$, if $P(A) = P\left( {\frac{A}{B}} \right) = \frac{1}{4}$ and $P\,\left( {\frac{B}{A}} \right) = \frac{1}{2},$ then

A
$A$ and $B$ are independent
B
$P\,\left( {\frac{{A'}}{B}} \right) = \frac{3}{4}$
C
$P\,\left( {\frac{{B'}}{{A'}}} \right) = \frac{1}{2}$
✓
All of the above

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark

There are $3$ bags which are known to contain $2$ white and $3$ black balls; $4$ white and $1$ black balls and $3$ white and $7$ black balls respectively. A ball is drawn at random from one of the bags and found to be a black ball. Then the probability that it was drawn from the bag containing the most black balls is

✓
$\frac{7}{{15}}$
B
$\frac{5}{{19}}$
C
$\frac{3}{4}$
D
None of these

Answer: A.

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Q 5M.C.Q (1 Marks)1 Mark

In an entrance test there are multiple choice questions. There are four possible answers to each question of which one is correct. The probability that a student knows the answer to a question is $90\%$. If he gets the correct answer to a question, then the probability that he was guessing, is

A
$\frac{{37}}{{40}}$
✓
$\frac{1}{{37}}$
C
$\frac{{36}}{{37}}$
D
$\frac{1}{9}$

Answer: B.

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STD 12 - 13. probability question types

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