A standard number cube is tossed. Find the following probability.
P(2 or even) =
To find the probability of rolling a 2 or an even number on a standard number cube (a regular six-sided die), we need to determine the total number of favorable outcomes (rolling a 2 or an even number) and divide it by the total number of possible outcomes.
Total possible outcomes when rolling a number cube = 6 (numbers 1 through 6)
Favorable outcomes for rolling a 2: 1 (the number 2)
Favorable outcomes for rolling an even number: 3 (numbers 2, 4, and 6)
Total favorable outcomes = 1 (rolling a 2) + 3 (rolling an even number) = 4
Therefore, the probability of rolling a 2 or an even number is:
P(2 or even) = Total favorable outcomes / Total possible outcomes
P(2 or even) = 4/6
P(2 or even) = 2/3
So, the probability of rolling a 2 or an even number on a standard number cube is 2/3.