Question

you roll a six-sided die. find the probability of each of the following scenarios.

(a) rolling a 5 or a number greater than 3
(b) rolling a number less than 4 or an even number
(c) rolling a 2 or an odd number

(a) \\(p(5 \text{ or number} > 3) =\\) (round to three decimal places as needed.)

Explanation:

Define the sample space

Using the Sample Space Construction knowledge point

$$ S = \{1, 2, 3, 4, 5, 6\}, \quad |S| = 6 $$

Calculate probability for scenario (a)

Using the Addition Rule for Probability knowledge point

$$
LATEXBLOCK0
$$

Calculate probability for scenario (b)

Using the Addition Rule for Probability knowledge point

$$
LATEXBLOCK1
$$

Calculate probability for scenario (c)

Using the Addition Rule for Probability knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 1

(a) Rolling a 5 or a number greater than 3:
\(P(5 \text{ or number } > 3) =\) <blank>\(0.500\)</blank>

Question 2

(b) Rolling a number less than 4 or an even number:
\(P(\text{number } < 4 \text{ or even}) =\) <blank>\(0.833\)</blank>

Question 3

(c) Rolling a 2 or an odd number:
\(P(2 \text{ or odd}) =\) <blank>\(0.667\)</blank>