Question

Leyla will roll a number cube 1-4 and flip a coin. The coin can land on heads or tails. If Leyla rolls the number cube once and flips the coin once, which list contains only the outcomes in which the number cube land on a number greater than 3?

Answer 1

`Outcome = \{4H,4T\}`

Explanation:

Given

A roll of cube numbered 1 - 4

A flip of coin

Required

Determine the possible outcomes for a number greater than 3

First, we list the sample space of the coin:

`Sample\ Space = \{1,2,3,4\}`

Next, we list outcomes greater than 3

`S = \{3\}`

Next, we list out the sample space (C) of a flip of coin:

`C = \{H,T\}`

Where

`H = Head\\T = Tail`

So, the possible outcome for a number greater than 3 is:

`Outcome = \{4\} + \{H,T\}`

`Outcome = \{4H,4T\}`