Number 1,,2,,3 and 4 are written separately on four slips of paper. slips are put in a box and mixed

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14.Probability

easy

The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

Option A

Option B

Option C

Option D

Solution

If $1$ appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are $2,\,3,$ or $4 .$ Similarly, if $2$ appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are $1,\,3,$ or $4 .$ The same holds true for the remaining number too.

Thus, the sample space of this experiment is given by

$S=\{(1,2),\,(1,3)$, $(1,4),\,(2,1)$, $(2,3),\,(2,4),\,(3,1),\,(3,2)$, $(3,4),\,(4,1)$, $(4,2),\,(4,3)\}$

Standard 11

Mathematics

A die is thrown. Describe the following events : $A$ : a number less than $7.$ Find the $A \cup B$.

easy

A letter is chosen at random from the word $\mathrm {'ASSASSINATION'}$. Find the probability that letter is a vowel.

easy

If $A$ and $B$ are two independent events such that $P\,(A \cap B') = \frac{3}{{25}}$ and $P\,(A' \cap B) = \frac{8}{{25}},$ then $P(A) = $

medium

(IIT-2002)

Two dice are thrown. The events $A, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

Describe the events $B$ or $C$

medium

$A$ and $B$ toss a coin alternatively, the first to show a head being the winner. If $A$ starts the game, the chance of his winning is

hard

The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

Solution

Similar Questions

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Two dice are thrown. The events $A, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

Describe the events $B$ or $C$