Erica rolls a number cube. Find the probability that the roll was a number more than 4 or an even number.
To find the probability that the roll was a number more than 4 or an even number, we first need to determine the total number of possible outcomes and then count the number of favorable outcomes
To find the probability that the roll was a number more than 4 or an even number, we first need to determine the total number of possible outcomes and then count the number of favorable outcomes.
1. Total Number of Possible Outcomes:
A standard number cube has six faces numbered 1, 2, 3, 4, 5, and 6. Therefore, the total number of possible outcomes is 6.
2. Number of Favorable Outcomes:
We need to count the number of outcomes that satisfy the condition of being either a number more than 4 or an even number.
– Numbers more than 4: The numbers that are more than 4 on the number cube are 5 and 6. Therefore, there are 2 outcomes that are more than 4.
– Even numbers: The even numbers on the number cube are 2, 4, and 6. Therefore, there are 3 outcomes that are even.
To find the total number of favorable outcomes, we need to add the number of outcomes that are more than 4 and the number of outcomes that are even, but we need to subtract the outcomes that are both more than 4 and even (in this case, 6).
Total number of favorable outcomes = (Number more than 4) + (Even numbers) – (Both more than 4 and even)
= 2 + 3 – 1
= 4
3. Probability Calculation:
Finally, we calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
= 4 / 6
= 2 / 3
Therefore, the probability that the roll was a number more than 4 or an even number is 2/3.
More Answers:
Mastering Probability Theory: Chance Experiments And Sample Spaces In Mathematics And BeyondDetermining the Probability of Coin Tossing and Number Cube Roll
Calculating the Probability of a Coin Landing on Heads and a Number Cube Rolling an Even Number