Question

Two dice are rolled to give a pair of numbers. Given that both numbers are greater than 1, what is the probability that they are both equal to 2?

a) 2/25
b) 1/36
c) 25/36
d) 1/25

Answer 1

When both dice must show a number greater than 1 and also be equal to 2, the probability is 1/25, obtained by multiplying the individual probabilities of each die showing a 2, assuming numbers 1 to 6 are possible excluding the 1.

Step-by-step explanation:

The probability that two dice, both showing a number greater than 1, will land with both showing the number 2 can be calculated using the product rule.

Since both dice need to be 2, and each die has only one face with a 2, the probability for each die is 1/5 (as numbers greater than 1 are 2, 3, 4, 5, 6).

The product rule tells us to multiply the probabilities of each independent event.

So, we calculate (1/5) x (1/5) to get 1/25. Therefore, the correct answer is d) 1/25.