A die is thrown repeatedly until a six comes up. sample space for this experiment ?

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14.Probability

easy

A die is thrown repeatedly until a six comes up. What is the sample space for this experiment ?

Option A

Option B

Option C

Option D

Solution

In this experiment, six may come up on the first throw, the second throw, the third throw and so on till six obtained.

Hence, the sample space of this experiment is given by

$S =\{6,(1,6),\,(2,6),$ $(3,6),\,(4,6),$ $(5,6),\,(1,1,6),\,(1,2,6)$, …… , $(1,5,6),\,(2,1,6),\,(2,2,6)$, ……. $(2,5,6)$, …….. , $(5,1,6),\,(5,2,6)$, ………. $\}$

Standard 11

Mathematics

Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.

medium

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easy

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$A:$ 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 $A$ and $B$

medium

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normal

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