Question

A 20-sided die with sides numbered 1-20 is used for a game.Which of the following events has a probability that is less than the probability of rolling a multiple of 4?

Answer 1

The probability of an event occurring in the given situation is:

$P(n)=\frac{n}{20}$

The given event: rolling a multiple of 4

n=5 (multiples of 4: 4,8,12,16,20)

To have a probability less than the given event n needs to be less than 5

A. n=10 (even numbers: 2,4,6,8,10,12,14,16,18,20)

B. n=6 (multiples of 3: 3,6,9,12,15,18)

C. n= 5 (numbers 5 or less: 5,4,3,2,1)

D. n=4 (numbers greater than 16: 17,18,19,20)

Then, the event that has a probability less than the probability of rolling a multiple of 4 is rolling a number greater than 16Answer: D