Math, asked by issacbharti6289, 1 year ago

In a single throw of a pair of dice, the probability of getting the sum which is a perfect square

Answers

Answered by aashi7725
8

Answer:

1/6 is the probability

Answered by letshelpothers9
20

Given : A pair of dice is thrown

If we throw two dices then there possible outcomes are as follows:

{(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)}

Total no. of possible outcomes when 2 dice are thrown = 6 x 6 = 36

Total Number of possible outcomes = 36

Let E = Event of getting the sum a perfect square

Favorable outcomes(sum a perfect square) :

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

Number of favorable outcomes = 7

Probability = Number of favourable outcomes / total number of outcomes

P(E) = 7/36

Hence, the Probability of getting sum a perfect square,

P(E) = 7/36

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