Question

two dices A and B are rolled. if it is known that the number on B is 5 then the probability that the sum of the numbers on the two dices will be greater than 9 is

Answer 1

Answer given above.

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Answer 2

Answer:

Probability of the incident is 1/3 or 33.33%

Step-by-step explanation:

Two dices A and B are rolled.

Let, Number on A (Na) = Na

Provided that:

Number on B (Nb) = 5

It is required that the sum of numbers on two dices are greater than 9 ;

That means:

Na + Nb > 9

or, 5 + Nb > 9

so, Nb > 4 .... required condition

So , All Possible outcomes for dice B ;

B : {(1), (2), (3), (4), (5), (6)}

And required outcomes for dice B;

Nb : {(5) , (6)}

So, probability of the incident when the sum of numbers will be greater than 9 :

$P(A) = \frac{(Nb)}{(B)} \\ P(A) = \frac{2}{6} \\ = \frac{1}{3}$

So Probability of the incident is 1/3 or 33.33%