Multiple choice

State whether the statement is true/false. An die is tossed twice. Find the probability of getting $4,5\ or\ 6$ on the first toss and $1,2,3\ or\ 4$ on the second toss is $\dfrac 13$

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The probability of getting 4, 5, or 6 on the first toss is 3/6 = 1/2. The probability of getting 1, 2, 3, or 4 on the second toss is 4/6 = 2/3. The joint probability is (1/2) * (2/3) = 2/6 = 1/3.

AI explanation

The probability of getting 4, 5, or 6 on the first toss is 3/6 = 1/2. The probability of getting 1, 2, 3, or 4 on the second toss is 4/6 = 2/3. Because the two tosses are independent events, the combined probability is the product of the individual probabilities, which is (1/2) x (2/3) = 1/3. Therefore, the given statement is True.