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 or number>3)=0.500 ) (round to three decimal places as needed.)
(b) ( p(1 or 2 or 3 or 4 or 6)=0.833 ) (round to three decimal places as needed.)
(c) ( p(4 or 1 or 3 or 5)=square ) (round to three decimal places as needed.)

Explanation:

Step1: Determine the total number of outcomes

When rolling a six - sided die, the total number of possible outcomes is \(n = 6\) (the numbers \(1,2,3,4,5,6\)).

Step2: Identify the favorable outcomes for part (c)

The event \(P(4\ or\ 1\ or\ 3\ or\ 5)\) has favorable outcomes \(m=4\) (the numbers \(1,3,4,5\)).

Step3: Calculate the probability

The probability formula is \(P=\frac{m}{n}\). Substituting \(m = 4\) and \(n = 6\), we get \(P=\frac{4}{6}=\frac{2}{3}\approx0.667\).

Answer:

\(0.667\)