q 33.) avery spun the spinner with the numbers 1 - 4 and rolled a number cube with the numbers 1 - 6. what…

q 33.) avery spun the spinner with the numbers 1 - 4 and rolled a number cube with the numbers 1 - 6. what is the probability the outcome was two of the same numbers? 1st choice 2nd choice 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 4 3 2 1

q 33.) avery spun the spinner with the numbers 1 - 4 and rolled a number cube with the numbers 1 - 6. what is the probability the outcome was two of the same numbers? 1st choice 2nd choice 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 4 3 2 1

Answer

Explanation:

Step1: Calculate total number of outcomes

The spinner has 4 possible outcomes and the die has 6 possible outcomes. By the fundamental counting principle, the total number of combined outcomes is (4\times6 = 24).

Step2: Determine favorable outcomes

The favorable outcomes (where the number on the spinner and the die are the same) are ((1,1)), ((2,2)), ((3,3)), ((4,4)). So there are 4 favorable outcomes.

Step3: Calculate probability

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So (P = \frac{4}{24}=\frac{1}{6}).

Answer:

(\frac{1}{6})