A number cube with the numbers 1 through 6 is rolled. Find P (number is greater than or equal to 3).
a.) 4/6 (MY ANSWER)
b.) 1/6
c.) 2/6
d.) 5/6
Yes, a.
To find the probability of a number being greater than or equal to 3 when rolling a number cube, we first need to determine the total number of possible outcomes and the number of favorable outcomes.
In this case, the number cube has 6 possible outcomes: {1, 2, 3, 4, 5, 6}. The favorable outcomes, i.e., the numbers that are greater than or equal to 3, are {3, 4, 5, 6}.
The probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
P(number is greater than or equal to 3) = Number of favorable outcomes / Total number of possible outcomes
Thus, the answer is:
P(number is greater than or equal to 3) = 4 / 6
Simplifying the fraction gives us:
P(number is greater than or equal to 3) = 2 / 3, which is approximately equal to 0.6667.
Therefore, the correct answer is c.) 2/6.