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

Step2: Calculate number of favorable outcomes

The favorable outcomes (same number on spinner and die) are: when the spinner shows 1 and die shows 1, spinner shows 2 and die shows 2, spinner shows 3 and die shows 3, spinner shows 4 and die shows 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:

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