Question

A coin is tossed and a number cube is rolled. What is P(heads, a number, a number less than 5)

A) 1/3
B) 5/12
C) 2/3
D) 5/6

Answer 1

That would be 1/2 * 4/6

= 1/2 * 2/3 = 1/3 (answer)

Answer 2

In a coin, there are 2 sides - heads and tails. The probability of getting a head is $\frac{1}{2}$

In a number cube, there are 6 numbers. The probability of being a number is 1.

The 6 numbers in a number cube are: 1, 2, 3, 4, 5, 6. There are 4 numbers less than 5. The probability of being less than 5 is $\frac{4}{6}$.

Now multiply the 3 probabilities together:

$\frac{1}{2} \times \frac{1}{1} \times \frac{4}{6} = \frac{4}{12} \rightarrow \frac{1}{3}$

Your answer is A.