Question

1. 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 2 3 4 5 6 2 1 2 3 4 5 6 3 1 2 3 4 5 6 4 1 2 3 4 5 6

Explanation:

Step1: Calculate total number of outcomes

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

Step2: Identify favorable outcomes

The favorable outcomes (same number on spinner and cube) 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:

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