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Question
q 26.) sal rolled two 6 - sided number cubes and finds the product of the two numbers rolled. use the table below to determine the probability of sal getting a product that is a multiple of 4. express your answer to the nearest whole percent.
Step1: Find total number of outcomes
When rolling two 6 - sided number cubes, the total number of outcomes is $6\times6 = 36$ since each cube has 6 possible results.
Step2: Count favorable outcomes
Count the number of products in the table that are multiples of 4. By looking at the table, the favorable outcomes are 18 (4, 8, 12, 16, 20, 24, 28, 32, 36 and their repeated occurrences as appropriate).
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 $P=\frac{18}{36}=0.5$.
Step4: Convert to percentage
To convert the decimal to a percentage, multiply by 100. So $0.5\times100 = 50\%$.
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$50\%$