Question

An unbaised dice is rolled twice
i. Write the possible outcomes.
ii. Find the probability of getting the sum of two numbers is a prime.
A chord of a circle of radius 84cm subtends an angle of 60' at the centre of the circle.​

Answer 1

I) Possible outcomes are:

(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)

2)Prime no. s are 2,3,5,7,11...till sum is 12

Outcomes which have these no. s as a sum are :

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

P= 15/36

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