AP BIOLOGY

Detailed explanation-1: -1 Expert Answer this problem is an example of binomial probability, so you can apply the expected value formula which can only be used for binomial probabilities. E(x)=np = (1/6)*36 = 6.

Detailed explanation-2: -To understanding probability we take an example as rolling a dice: There are six possible outcomes-1, 2, 3, 4, 5, and 6. The probability of getting any of the numbers is 1/6. As the event is an equally likely event so the possibility of getting any number is the same in this case it is 1/6 or 50/3%.

Detailed explanation-3: -Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll: 16 . This means that each time that you roll, there is a 56 chance that you will not roll a 6. The probability of not rolling a 6 twice is 56⋅56, or 69.4%.

Detailed explanation-4: -Probability of getting 6 three times in a row = (1/6) × (1/6) × (1/6) = 1/216. Hence, the probability of getting 6 three times in a row is 0.463%.