Question

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is odd?
1. \(\dfrac{1}{6}\)
2. \(\dfrac{1}{4}\)
3. \(\dfrac{3}{4}\)
4. \(\dfrac{1}{2}\)

Answer 1

Correct Answer - Option 2 : \(\dfrac{1}{4}\)

Each dice has numbers from 1 to 6

Two Dice are thrown

Possible outcomes=  6 × 6 = 36

Now,

getting two numbers whose product is odd,

Probability of getting odd number in each dice = 3/6  = 1/2

Probability of  getting two numbers whose product is odd = (1/2) × (1/2)

∴ Probability of  getting two numbers whose product is odd = 1/4