Question

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

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:

\(\frac{1}{6}\)