Question

A dice is rolled 2 times. What is the probability of showing a 4 on every roll?

Answer 1

Since we are rolling a die twice

The possible out come of rolling a die is

`\mleft\lbrace1,2,3,4,5,6\mright\rbrace`

Therefore, the probability of getting a 4 on every roll is

`P(\text{getting a 4 on every roll) }=P(1st\text{ 4) and P(2nd 4)}`

From the sample outcome above

P(of 4) = 1/6

Therefore

`\begin{gathered} P(\text{getting a 4 on every roll)}=(1)/(6)*(1)/(6) \\ P(\text{getting a 4 on every roll)}=(1)/(36) \\ P(\text{getting a 4 on every roll)}=0.0278 \end{gathered}`

Therefore, thr porbability is 0.0278