Q. If you roll two fair six-sided dice, what is the probability that at least one die shows a 3 ?
Calculate Probability of Not Rolling 3: First, let's figure out the probability of not rolling a 3 on a single die. There are 5 outcomes that are not a 3 out of 6 possible outcomes.So, the probability of not rolling a 3 on one die is 65.
Calculate Probability of Not Rolling 3 on Both Dice: Now, since we have two dice, we'll calculate the probability of not rolling a 3 on both dice. We multiply the probabilities for each die.(65)×(65)=3625.
Find Probability of At Least One 3: To find the probability of at least one die showing a 3, we subtract the probability of not rolling a 3 on both dice from 1. 1−(3625)=3611.