Question

a. find the probability that when a single six - sided die is rolled, the outcome is 3. 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 9. a. the probability of rolling a 3 on a six - sided die is \\(\square\\). (round to three decimal places as needed.)

Explanation:

Step1: Identify total and favorable outcomes

A six - sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6). The favorable outcome (rolling a 3) is 1.

Step2: Apply probability formula

The probability \( P \) of an event is given by \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). So \( P = \frac{1}{6}\approx0.167 \) (rounded to three decimal places).

Answer:

0.167