Test Index

Probability

Question : 93 of 127

Marks: +1, -0

The probability of throwing an odd sum with two fair dice is :

Solution:

Concept:

Sum is odd when one die shows even and the other odd.

Explanation:

Total outcomes =

6 \times 6 = 36

Even numbers on a die: 2, 4, 6 → 3 ways.

Odd numbers on a die: 1, 3, 5 → 3 ways.

Favorable outcomes: (first even, second odd)

3 \times 3 = 9

; (first odd, second even)

3 \times 3 = 9

; total

18

Probability

= \frac{18}{36} = \frac{1}{2}

Answer:

\frac{1}{2}

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