Multiple choice

A dice is rolled and a coin is tossed simultaneously. What is the probability of getting a head and an odd number.

  1. $\dfrac{1}{3}$
  2. $\dfrac{1}{4}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{2}{3}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Probability of head = 1/2. Probability of odd number (1, 3, 5) = 3/6 = 1/2. Since events are independent, P(Head and Odd) = 1/2 * 1/2 = 1/4.

AI explanation

The probability of getting a head on the coin is 1/2, and the probability of rolling an odd number (1, 3, or 5) on the dice is 3/6 or 1/2. Because the dice roll and the coin toss are independent events, we multiply their individual probabilities using the multiplication rule of probability. This gives (1/2) multiplied by (1/2), which equals 1/4.

Keep practicing — related questions