AP BIOLOGY

Detailed explanation-1: -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-2: -If the two dice are fair and independent, each possibility (a, b) is equally likely. Because there are 36 possibilities in all, and the sum of their probabilities must equal 1, each singleton event (a, b) is assigned probability equal to 1/36.

Detailed explanation-3: -Each numeral on a die is equally likely to occur when the die is tossed. From this we can make conclusions such as the following: Getting a 3 on the toss of a die and getting a 5 on the toss of a die are equally likely events, since the probabilities of each event are equal.

Detailed explanation-4: -Answer: The probability of getting an even number on the first side when a pair of dice is thrown once is 1/2. Let’s look into the possible outcomes.