Test time left: 34:50ProbabilityA die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.Options1/22/33/41/4

To solve this problem, we need to understand that the roll of the die and the toss of the coin are independent events. This means that the outcome of one does not affect the outcome of the other.

Step 1: Determine the probability of the die showing an odd number. A die has 6 faces, numbered 1 to 6. The odd numbers are 1, 3, and 5. So, there are 3 favorable outcomes. Therefore, the probability of getting an odd number is 3/6 = 1/2.

Step 2: Determine the probability of the coin showing a head. A coin has 2 faces, head and tail. So, the probability of getting a head is 1/2.

Step 3: Since these are independent events, the probability of both events happening is the product of their individual probabilities.

So, the probability that the die shows an odd number and the coin shows a head is (1/2) * (1/2) = 1/4.

Therefore, the correct answer is 1/4.