Question

A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on 4 and the coin is heads?

Answer 1

1/12

Explanation:

First we have to calculate the sample space i.e. The total number of outcomes,

(H represents heads, T represents Tails and Numericals represent the number on the die)

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

= 12 sample spaces

Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome

The number of outcomes/Total number of outcome

So therfore we can represent it in fraction as

1 / 12