If two dice are rolled, what is the probability of getting two numbers greater than 4?

Question

1/3, 1/36, 1/6 or 1/9

Answer 1

If you roll a single die there are 6 possible outcomes (1,2,3,4,5,6), 2 of which are greater than 4.  

 

So in a single roll the probability of getting a number greater than 4 is 2/6 = 1/3.  

 

If you roll two dice, these are independent events so the probability that roll 1 is greater than 4 and roll 2 is greater than 4 is the product of each individual event, so P(both > 4) = P(roll 1 > 4) * P(roll 2 > 4) = (1/3) * (1/3) = 1/9