Question

Three dice are rolled. Find the probability of getting a 2, a 3, and a 4.1/363/363/2161/216

Answer 1

Given:

Three dice are rolled.

Required:

Find the probability of getting a 2, a 3, and a 4.

Step-by-step explanation:

Three dice are rolled simultaneously then the number of total outcomes = 6 x 6x 6 =216

The number of possible outcomes of 2 = 1

The number of possible outcomes of 3 = 1

The number of possible outcomes of 4 = 1

The probability of an event is given by the formula:

`P=\frac{Number\text{ of possible outcomes}}{Total\text{ outcomes}}`
`\begin{gathered} P(2)=(1)/(6) \\ P(3)=(1)/(6) \\ P(4)=(1)/(6) \end{gathered}`

The probability of getting a 2, a 3, and a 4 are:

`\begin{gathered} P(2,3,4)=(1)/(6)*(1)/(6)*(1)/(6)*3 \\ P(2,3,4)=(3)/(216) \end{gathered}`

Final Answer:

Option third is the correct answer.