What is the probability of getting sum as ... | গণিত Multiple Choice Question

<html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Explanation for Probability Question</title> <style> body { font-family: Arial, sans-serif; } .explanation { border: 1px solid #ccc; padding: 15px; background-color: #f9f9f9; max-width: 600px; margin: 20px auto; } .choices { margin-bottom: 15px; } .correct-answer { color: green; font-weight: bold; } </style> </head> <body> <div class="explanation"> <h2>Explanation for the Probability Question</h2>

Question: What is the probability of getting sum as 7 when two dice are thrown?

Choices:

1/4
1/5
1/6 <span class="correct-answer">(Correct Answer)</span>
2/5

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To determine the probability of getting a sum of 7 when two dice are thrown, we need to consider all possible outcomes and the specific outcomes that sum to 7.

When two dice are thrown, each die has 6 faces showing 1 to 6 dots. Therefore, the total number of possible outcomes when throwing two dice can be calculated as:

Total Outcomes = 6 * 6 = 36

We now need to determine the number of outcomes where the sum of the numbers on the two dice is 7. By listing all combinations, we find:

(1, 6)
(2, 5)
(3, 4)
(4, 3)
(5, 2)
(6, 1)

There are 6 favorable outcomes where the sum is 7. Therefore, the probability $P$ of getting a sum of 7 is:

$ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} $

$ P = \frac{6}{36} = \frac{1}{6} $

This calculation shows that the correct answer is indeed <span class="correct-answer">1/6</span>.

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What is the probability of getting sum as 7 when two dice are thrown?

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