Question

If two dice are rolled si.ultaneously,find the probability of the following events .
(a) the sum of the digits on upper face is atleast 11.
(b) the digits on the second die is greater than the digit on the first die

Answer 1

Answer:

a it will either 5 on first dice and 6 on another dice

or

it will be 6 on first dice and 5 on another dice so the probability is 2

b 5

Answer 2

Answer:

These are the possibilities

(1 1) (1 2) (1 3) (1 4) (1 5) (1 6)

(2 1) (2 2) (2 3) (2 4) (2 5) (2 6)

(3 1) (3 2) (3 3) (3 4) (3 5) (3 6)

(4 1) (4 2) (4 3) (4 4) (4 5) (4 6)

(5 1) (5 2) (5 3) (5 4) (5 5) (5 6)

(6 1) (6 2) (6 3) (6 4) (6 5) (6 6)

(a) For these consider the above cases

See that which two give sum more than or equal to 11

Favourable outcomes are 3

Total outcomes are 36

Probability = 3/36 = 1/12 = 0.08

(b) Here also see the above cases

See that in which case second no. is greater than first one.

Favourable outcomes are 15 here

Total outcomes are 36

Probability = 15/36 = 5/12 = 0.42

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