Question

What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number.

Answer 1

3%

Explanation:

Answer 2

Question:

Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number. O 22% 36% O 3% O 33%

Answer:

The probability of rolling a 2 then 4 is 3%

Explanation:

Given

A die rolled twice

Required

Probability of rolling a 2 then 4; i.e. P(2 n 4)

First, we need to list out the sample space

`S = \{1,2,3,4,5,6\}`

`n(S) = 6`

Next, is to calculate P(2)

`P(2) = (n(2))/(n(S))`

`P(2) = (1)/(6)`

Next, is to calculate P(4)

`P(4) = (n(4))/(n(S))`

`P(4) = (1)/(6)`

Next,is to calculate the required probability using the following formula

`P(2\ n\ 4) = P(2) * P(4)`

`P(2\ n\ 4) = (1)/(6) * (1)/(6)`

`P(2\ n\ 4) = (1)/(36)`

`P(2\ n\ 4) = 0.02777777777`

Convert to Percentage

`P(2\ n\ 4) = 2.777777777\%`

Approximate

`P(2\ n\ 4) = 3\%`

Hence, the probability of rolling a 2 then 4 is 3%