Question

you roll a six - sided die. find the probability of each of the following scenarios.
(a) rolling a 4 or a number greater than 3
(b) rolling a number less than 5 or an even number
(c) rolling a 4 or an odd number
(a) ( p(4\text{ or number }>3)=0.500 ) (round to three decimal places as needed.)
(b) ( p(1\text{ or }2\text{ or }3\text{ or }4\text{ or }6)=square ) (round to three decimal places as needed.)

Explanation:

Step1: Determine the sample space

When rolling a six - sided die, the sample space \(S=\{1,2,3,4,5,6\}\), and \(n(S) = 6\).

Step2: Identify the favorable outcomes for part (b)

The event \(E=\{1,2,3,4,6\}\), and \(n(E)=5\).

Step3: Calculate the probability

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting \(n(E) = 5\) and \(n(S)=6\), we get \(P(E)=\frac{5}{6}\approx0.833\).

Answer:

\(0.833\)