Question

See image for question.

Please show workings.

Question Continuation :
a. a prime number ?
b. a perfect square ?
c. a perfect cube ?​

Answer 1

• See below

Explanation:

We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36

a.

Prime numbers:

• 2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)

• P(prime number) = 15/36

b.

Perfect squares:

• 4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)
• P(perfect square) = (3 + 4)/36 = 7/36

c.

Perfect cube:

• 8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)
• P(perfect cube) = 5/36