Question

A coin is tossed and a single 6-sided die is rolled. Find the probability of getting the head side of coin and getting a 3 on the die
1. \(\frac{1}{12} \)
2. \(\frac{2}{3} \)
3. \(\frac{1}{4} \)
4. None of these

Answer 1

Correct Answer - Option 1 : \(\frac{1}{12} \)

Formula used:

Probability = \(\frac{Number\ of \ favourable \ events}{Total \ events}\)

Probability of happening events A and B both

= Probability of happening event A × Probability of happening event B

Calculation:

Probability of getting head when a coin is tossed

P(A) = \(\frac{1}{2} \) 

Probability of getting 3 when die is rolled

P(B) = \(\frac{1}{6} \)

Hence, the probability of getting the head side of a coin and getting a 3 on the die

P = P(A) × P(B)

⇒ P = \(\frac{1}{2} \times\ \frac{1}{6} \ =\ \frac{1}{12}\)

Hence, option 1 is correct.