A standard number cube is tossed. Find the following probability.
P(5 or odd) =
(Round to three decimal places as needed.)
There are two ways to roll a 5 on a number cube (rolling a 5 is considered an event) and three ways to roll an odd number (1, 3, or 5 are all considered events). However, we have to be careful not to double-count the event of rolling a 5 (since it is also an odd number).
So, the probability of rolling a 5 or an odd number is:
P(5 or odd) = P(5) + P(odd) - P(5 and odd)
P(5 or odd) = 2/6 + 3/6 - 1/6
P(5 or odd) = 4/6
P(5 or odd) = 2/3
P(5 or odd) ≈ 0.667
Therefore, the probability of rolling a 5 or an odd number on a standard number cube is approximately 0.667.