Question

A six-sided number cube is rolled twice. Which expression can be used to find P(5, then3)? A. 1/5 x 1/3 B. 1/6 x 1/5 C. 5/6 x 3/6 D. 1/6 x 1/6

Answer 1

D. 1/6 chance to roll, say, a 6, but 2/36 chance or rather, 1/18 chance to roll 2 6's!

Answer 2

Answer: The correct option is

(D)
`(1)/(6)* (1)/(6).`

Step-by-step explanation: Given that a six-sided number cube is rolled twice.

We are to select the expression that can be used to find the following probability :

`P(5,~then~3).`

Let S denote the sample space of drawing a number from a six-sided cube.

and let A and B represents the events of drawing 5 and 3 respectively from a six-sided cube.

Then,

`n(S)=6,~~n(A)=1,~~n(B)=1.`

So, the probabilities of events A and B are given by

`P(A)=(n(A))/(n(S))=(1)/(6),\\\\\\P(B)=(n(B))/(n(S))=(1)/(6).`

Therefore, the probability P(5 then 3) is given by

`P(A)* P(B)=(1)/(6)*(1)/(6).`

Thus, the required expression is
`(1)/(6)* (1)/(6).`

Option (D) is CORRECT.