Question

QUICK QUESTION!!!! PLEASE HELP!!!

Sophia rolls a six-sided number cube labeled from 1 to 6. What is the probability that she rolls a number greater that 4 or a 2?

Answer 1

The probability that she rolls a number greater that 4 or a 2 =
`(1)/(2)` or 50%

Explanation:

Given:

A six sided number cube is rolled labelled from 1 to 6.

To find the probability that she rolls a number that is greater than 4 or a 2.

Solution:

The possible outcomes of rolling a six-sided cube are:

{1,2,3,4,5,6}

`n(U)=6`

Event A:

The favorable outcomes greater than 4 are:

{5,6}

`n(A)=2`

Probability of event A to occur =
`(n(A))/(n(U))=(2)/(6)`

Event B:

The favorable outcome is a 2

{2}

`n(B)=1`

Probability of event B to occur =
`(n(B))/(n(U))=(1)/(6)`

We find that the two events are mutually exclusive as they have no common outcomes.

Thus, the probability that event A or B occurs ( P(AUB) ) can be given as:

⇒
`(2)/(6)+(1)/(6)`

Since denominators same, so we add the numerators.

⇒
`(3)/(6)`

Reducing it to simpler fraction:

⇒
`(1)/(2)` (Answer)

Thus, the probability that she rolls a number greater that 4 or a 2 =
`(1)/(2)` or 50%