Question

A number cube is rolled twice. What is the P (2 and then odd number)?

Answer 1

P (2 and then odd number) =
`(1)/(12)`

Explanation:

Probability refers to chances of occurrence of any event.

A number cube is rolled twice.

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 number of outcomes = 36

Favorable outcomes include outcomes with 2 and then odd number.

So,

Favorable outcomes are
`(2,1),(2,3),(2,5)`

Number of favorable outcomes = 3

Probability is equal to number of favorable outcomes divided by total number of outcomes.

Therefore,

P (2 and then odd number) = Number of favorable outcomes ÷ Total number of outcomes

`=(3)/(36)`

`=(1)/(12)`