A fair dice with face numbered 1,2,3,4,5,6 is thrown twice.what is the probability of obtaining a prime from each throw

Answer 1

To find the probability of obtaining a prime on each throw of a fair dice, we first determine the number of favorable outcomes and the total number of possible outcomes.

For the first throw, the favorable outcomes are 2, 3, and 5, as these are the prime numbers less than or equal to 6. Since there are 3 favorable outcomes, the probability of obtaining a prime on the first throw is 3/6 or 1/2.

Similarly, for the second throw, the favorable outcomes are also 2, 3, and 5. Again, there are 3 favorable outcomes, so the probability of obtaining a prime on the second throw is also 1/2.

Since the outcomes of each throw are independent events, we can multiply the probabilities of each throw to find the overall probability. Therefore, the probability of obtaining a prime from each throw is:

(1/2) * (1/2) = 1/4

So, the probability of obtaining a prime from each throw is 1/4 or 0.25.