What is the probability of rolling less than 4 on a standard cube and then getting tails on a coin flip?

1 Answer

#1/2xx1/2=1/4#

Explanation:

Cube

There are the numbers 1-6 on the number cube. There are 3 numbers that are less than 4: 1, 2, 3. This means there are 3 out of the 6 options that can satisfy the "less than 4" requirement:

#3/6=1/2#

Coin

There are 2 options on the coin - heads, tails. And so the probability of getting tails is:

#1/2#

Putting it together

The roll of the cube and the flip of the coin are independent, and so we multiply the probabilities to get the probability of both happening:

#1/2xx1/2=1/4#