Question

A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was less than or equal to5

Answer 1

The favorable outcomes of larger of the two rolls are less than or equal to 5 are (1,2),(1,3),(1,4),(1,5),(2,1),(2,3),(2,4),(2,5),(3,1), (3,2),(3,4),(3,5),(4,1),(4,2),(4,3),(4,5),(5,1),(5,2),(5,3),(5,4)

i.e. number of favorable outcomes =20

here number of possible outcomes =36

Probability =

Here number of possible outcomes are 8

Number of favorable outcomes are 3 ( they are (H,T,T),(T,H,T),(T,T,H) )

Probability =