AP BIOLOGY

Detailed explanation-1: -1 Expert Answer Since there are 7 purple marbles out of 12 total there is a 7/12 probability you will draw a purple marble on the first draw.

Detailed explanation-2: -This means that the probability of selecting a green marble is eight out of 25 or eight twenty-fifths. As we’re drawing a marble 75 times, we can calculate the expected number by finding eight twenty-fifths of 75 or multiplying eight over 25 by 75. Both 25 and 75 are divisible by 25.

Detailed explanation-3: -Theoretical probability is probability that is based on an ideal situation. For instance, since a flipped coin has two sides and each side is equally likely to land up, the theoretical probability of landing heads (or tails) is exactly 1 out of 2.

Detailed explanation-4: -Expert-Verified Answer The number of favourable outcomes is the number of red marbles. The total number of outcomes is the total number of marbles. Keep the values in the formula to find the probability. Thus, the theoretical probability of pulling a red marble is 1/3.