Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If you roll two fair six-sided dice, what is the probability that at least one die shows a 3 ?

If you roll two fair six-sided dice, what is the probability that at least one die shows a 33 ?

Full solution

Q. If you roll two fair six-sided dice, what is the probability that at least one die shows a 33 ?
  1. Calculate Probability of Not Rolling 33: First, let's figure out the probability of not rolling a 33 on a single die. There are 55 outcomes that are not a 33 out of 66 possible outcomes.\newlineSo, the probability of not rolling a 33 on one die is 56\frac{5}{6}.
  2. Calculate Probability of Not Rolling 33 on Both Dice: Now, since we have two dice, we'll calculate the probability of not rolling a 33 on both dice. We multiply the probabilities for each die.\newline(56)×(56)=2536(\frac{5}{6}) \times (\frac{5}{6}) = \frac{25}{36}.
  3. Find Probability of At Least One 33: To find the probability of at least one die showing a 33, we subtract the probability of not rolling a 33 on both dice from 11. \newline1(2536)=11361 - \left(\frac{25}{36}\right) = \frac{11}{36}.

More problems from Outcomes of compound events