Question

a. find the probability that when a single six - sided die is rolled, the outcome is 4.
b. find the probability that when a coin is tossed, the result is tails.
c. find the probability that when a six - sided die is rolled, the outcome is 17.
a. the probability of rolling a 4 on a six - sided die is
(round to three decimal places as needed.)
b. the probability of a result of tails when tossing a coin is
(round to three decimal places as needed.)
c. the probability of rolling a 17 on a six - sided die is
(round to three decimal places as needed.)

Explanation:

Step1: Identify total and favorable outcomes for die - 4

A six - sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6). The favorable outcome of getting a 4 is 1. The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(4)=\frac{1}{6}$.

Step2: Identify total and favorable outcomes for coin - tails

A coin has 2 possible outcomes (heads and tails). The favorable outcome of getting tails is 1. So $P(\text{tails})=\frac{1}{2}$.

Step3: Identify total and favorable outcomes for die - 17

A six - sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6). There are 0 favorable outcomes of getting a 17. So $P(17)=\frac{0}{6}=0$.

Answer:

a. 0.167
b. 0.500
c. 0.000