Question

A six-sided number cube is rolled, and then a spinner with five equal sections labeled A through E is spun. What is the probability of rolling a number less than four and spinning a D?

Answer 1

Data:

• A six-sided number cube is rolled.

,

• Then, a spinner with five equal sections labeled A through E is spun.

,

• Probability of rolling a number less than four and spinning a D.

Procedure

To get the total probability, we have to get the probability for each situation.

• Six-sided number cube

As we have six sides, we have six numbers, then we can get the probability of rolling a number less than four, meaning rolling 3, 2 or 1, as follows:

$P(x<4)=\frac{3}{6}=\frac{1}{2}$

• Spinner with five equal sections

Similarly, we have five sides and we want to know the probability of getting a D:

$P(x=D)=\frac{1}{5}$

• Total probability

Finally, the total probability, as those are independent events, would be the multiplication of the probabilities:

$P=\frac{1}{2}\times\frac{1}{5}=\frac{1}{10}$

Answer: 1/10