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For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be odd or a multiple of 3. (You may want to use a table showing the sum for each of the 36 equally likely outcomes.) The probability that the sum of the pair of dice is odd or a multiple of 3 is

For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be odd or a multiple of 3. (You may want to use a table showing the sum for each of the 36 equally likely outcomes.) The probability that the sum of the pair of dice is odd or a multiple of 3 is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Title: Probability in Dice Rolling** **Topic: Calculating Probability with Dice** **Problem Statement:** For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be odd or a multiple of 3. (You may want to use a table showing the sum for each of the 36 equally likely outcomes.) **Question:** The probability that the sum of the pair of dice is odd or a multiple of 3 is [ ]. **Explanation:** When rolling a pair of dice, each die has 6 faces, leading to a total of 6 × 6 = 36 possible outcomes. To find the required probability, identify the outcomes where the sum is either odd or a multiple of 3. You can list each outcome pair (e.g., (1,1), (1,2), ..., (6,6)) and calculate their sums to see which meet the criteria. Consider filling in a table that lists all possible sums and highlights those that are odd or multiples of 3 for a clear visualization. This can assist in counting the favorable outcomes. Divide the number of favorable outcomes by 36 to find the probability.
Transcribed Image Text:**Title: Probability in Dice Rolling** **Topic: Calculating Probability with Dice** **Problem Statement:** For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be odd or a multiple of 3. (You may want to use a table showing the sum for each of the 36 equally likely outcomes.) **Question:** The probability that the sum of the pair of dice is odd or a multiple of 3 is [ ]. **Explanation:** When rolling a pair of dice, each die has 6 faces, leading to a total of 6 × 6 = 36 possible outcomes. To find the required probability, identify the outcomes where the sum is either odd or a multiple of 3. You can list each outcome pair (e.g., (1,1), (1,2), ..., (6,6)) and calculate their sums to see which meet the criteria. Consider filling in a table that lists all possible sums and highlights those that are odd or multiples of 3 for a clear visualization. This can assist in counting the favorable outcomes. Divide the number of favorable outcomes by 36 to find the probability.
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