Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is an odd number?

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

Answer (Detailed Solution Below)

Option 1 : 1/4
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Reasoning (Mock Test)
20 Qs. 20 Marks 11 Mins

Detailed Solution

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Given:

Formula Used:

Probability = possible outcome/ total outcome

Calculation:

When two dice are thrown simultaneously total outcomes = 36

The outcomes are

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

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

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

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

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

Product of two number is odd = (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5) = 9

Probability = possible outcome/ total outcome

Probability (product of two number is odd) = 9/36 = 1/4

∴ Required answer is 1/4 

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