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Maths / Probability / Dice Probability
(A Brief Glimpse of ABHYAS Content - Have aLook !!!!)

## Dice Probability

### Dice Probability:

Dice is a small cube or an object having six square faces. It is generally used in playing board game. An unbiased dice has different numbers on each face, or we can say that each face can be identified uniquely. For a dice numbered 1 to 6, the sample space will be (1,2,3,4,5,6)

Illustration: An unbiased dice is thrown once write all the possible outcomes.

Solution: When an unbiased die is thrown once, the six possible outcomes are :  1, 2, 3, 4, 5, 6.

Illustration: An unbiased dice is thrown once are the outcomes equally likely?

Solution: Yes, as the dice is unbiased so all the outcomes are equally likely.

Illustration: An unbiased dice is thrown once find probability of getting a number less than 3.

Solution:  The favorable cases are 1, 2 so the total favorable outcomes = 2

Total outcomes = 6

$P(No \;less\; than\; 3)= \frac{No.\;of \;favourable\; outcomes}{Total \;outcomes}=\frac{2}{6}=\frac{1}{3}$

Illustration: An unbiased dice is thrown once find probability of getting a number greater than 6

Solution: No favorable cases are there as the dice has numbers 1, 2, 3, 4, 5, 6  so the total favorable outcomes = 0

Total outcomes = 6

$P (a\;\; number\;> 6)=\frac{0}{6}=0$

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