Question

A fair die is rolled 5 times. What is the probability that a 3 is obtained on at least one of the rolls? Round your answer to three decimal pla
(If necessary, consult a list of formulas.)​

Answer 1

Answer:

0.200

Step-by-step explanation:

The probability of obtaining a 3, in one roll of a fair die is 1/6.

Now, we have 5 rolls.

We now want to know the probability of a 3 showing up in at least one of the rolls.

This simply mean, we add the probabilities of three showing one time plus probability of three showing in 2 of the rolls e.t.c

This means we can have 3 showing up to 5 times.

We add the probabilities as follows:

(1/6) + (1/6)^2 + (1/6)^3 + (1/6)^4 + (1/6)^5 = 0.199974 = 0.200