Question

an ordinary cube has four blank faces,one face marked 2 and one face marked 3.Then find the probability of obtaining total exactly 12 on 5 throws
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Asked on December 20, 2019 by

Daizzy Sehgal

An ordinary cube has four blank faces, one face marked 2, another marked 3. Then the probability of obtaining a total of exactly 12 in 5 throws is

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ANSWER

n= Total number of ways =6

5

To find the favorable number of ways, a total of 12 in 5 throws can be obtained in the following two ways only:

(i) One blank and four 3

′

s

(ii) Three 2

′

s and two 3

′

s

The number of ways in case (i) =

5

C

1

=5

and the number of ways in case (ii) =

5

C

2

=10

∴m= the favorable number of ways.

=5+10=15

Hence the required probability =

6

5

5

=

2592

5