Question

What is the probability of first rolling a 5 and then rolling a 2 on a standard number cube?

Answer 1

`\frac {1} {36}`

Explanation:

Step 1: Find the probability of rolling a 5

Number / Total amount of numbers

`\frac {1} {6}`

Step 2: Find the probability of rolling a 2

Number / Total amount of numbers

`\frac {1} {6}`

Step 3: Multiply to get the probability

`\frac {1} {6} * \frac {1}{6}`

`\frac {1} {36}`

Answer:
`\frac {1} {36}`

Answer 2

1/36

Explanation:

There are 6 numbers on a standard cube, 1,2,3,4,5,6

P (5) = 5's / total

=1/6

P(2) = 2's / total

= 1/6

Since these are independent events

P(5, then a 2) = P(5) * P(2)

= 1/6 * 1/6 = 1/36