If two fair dice are tossed, what is the probability that the two numbers that turn up are consecutive integers ?

Options

A. `0.14`
B. `0.17`
C. `0.28`
D. `0.33`

Answer

C

Explanation

The total number of possible outcomes is `6xx6=36`. Of those outcomes, the following are consecutive integers :
`{:("1 and 2"),("2 and 1"),("2 and 3"),("3 and 2"),("3 and 4"),("4 and 3"),("4 and 5"),("5 and 4"),("5 and 6"),("6 and 5"):}`
That's 10 favorable outcomes :
Probability `= ("Favorable outcomes")/("Total possible outcomes")`
`=(10)/(36)~~0.28`