Find the probability that the sum of the score is even in a throw of two dice.
2025
Find the probability that the sum of the score is even in a throw of two dice.
- A.
1/4
- B.
1/3
- C.
1/2
- D.
2/3
Attempted by 35 students.
Show answer & explanation
Correct answer: C
Answer: 1/2
Total number of equally likely outcomes when two dice are thrown = 6 × 6 = 36.
An even sum occurs when both dice show even numbers or both show odd numbers.
Both even: numbers 2, 4, 6 on each die → 3 × 3 = 9 outcomes.
Both odd: numbers 1, 3, 5 on each die → 3 × 3 = 9 outcomes.
Favourable outcomes = 9 + 9 = 18.
Probability = 18/36 = 1/2.