What is the probability of rolling a number less than 4 when a fair number cube is rolled?
4/6--2/3
Only 3 cases: 1 2 or 3
prob(less than 4) = 3/36 = 1/12
To find the probability of rolling a number less than 4 on a fair number cube, we need to know the total number of equally likely outcomes and the number of favorable outcomes.
Total number of equally likely outcomes:
A fair number cube has six faces numbered 1 to 6. So, the total number of equally likely outcomes is 6.
Number of favorable outcomes:
To roll a number less than 4, we need to roll a 1, 2, or 3. So, the number of favorable outcomes is 3.
Therefore, the probability of rolling a number less than 4 when a fair number cube is rolled is given by the ratio of the number of favorable outcomes to the total number of equally likely outcomes:
Probability = (Number of favorable outcomes) / (Total number of equally likely outcomes)
Probability = 3/6
Probability = 1/2
So, the probability of rolling a number less than 4 is 1/2 or 50%.
To find the probability of rolling a number less than 4 when a fair number cube is rolled, we need to first determine the total number of equally likely possible outcomes and then count the number of favorable outcomes.
A number cube, also known as a fair six-sided die, has six equally likely outcomes: 1, 2, 3, 4, 5, and 6.
Since we are interested in the numbers less than 4, we count the favorable outcomes, which are 1, 2, and 3.
Therefore, the probability of rolling a number less than 4 is given by the ratio of favorable outcomes to total outcomes:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = 3 (favorable outcomes) / 6 (total outcomes)
Simplifying this fraction, we find:
Probability = 1/2
So, the probability of rolling a number less than 4 when a fair number cube is rolled is 1/2 or 50%.