Two fair 6-sided dice are rolled simultaneously. What is the probability that the product of the two rolled numbers is an even number?
Answer and explanation
Correct answer: B.
.
The probability of an odd product is .
.
The probability of an odd product is .
.
- Step 1: The total number of equally likely outcomes when rolling two fair dice is .
- Step 2: Use complementary counting: the product of two integers is odd if and only if both numbers are odd. The odd outcomes on a single die are (3 choices), so the number of outcomes with an odd product is :
- Step 3: Calculate the probability that the product is even :
Answer
.
Practise more Permutations, Combinations, and Probability.
Free questions with an explanation for every one, and full timed EJU Japan mock tests.
More Permutations, Combinations, and Probability questions
- How many distinct 4-digit numbers can be formed using the digits without repetition?
- A committee of 4 members is to be chosen from 5 men and 4 women. What is the probability that the committee consists of exactly 2 men and 2…
- How many ways can 6 people be seated around a circular round table?
- A box contains 4 red balls and 6 white balls. Two balls are drawn successively without replacement. What is the probability that both balls…
- In the binomial expansion of , what is the coefficient of ?