AP BIOLOGY

Detailed explanation-1: -As you can see, 7 is the most common roll with two six-sided dice. You are six times more likely to roll a 7 than a 2 or a 12, which is a huge difference. You are twice as likely to roll a 7 as you are to roll a 4 or a 10. However, it’s only 1.2 times more likely that you’ll roll a 7 than a 6 or an 8.

Detailed explanation-2: -If you use the above graphic and count the number of times is 6 appears when two dice are rolled, you will see the answer is eleven. Eleven times out of 36 or 30.5 %, slightly less than the 33.3% (2/6).

Detailed explanation-3: -The probability of rolling an even number is three out of six, or three-sixths. This fraction can be simplified as the numerator and denominator are both divisible by three. Three divided by three is equal to one, and six divided by three is equal to two. This means that the answer, in its simplest form, is one-half.

Detailed explanation-4: -The mean for 1 die is 3.5, so for 3 dice it’s 3*3.5 = 10.5. Since 11 is closer to the mean than 12 is, it will be more likely.