A survey of 8 students was taken regarding their favorite subject, food, and sport and the results are shown in the table to the right.If one of the 8 students is selected at random, determine the probability(and simplify as a fraction) that: a. a student whose favorite sport is soccer and favorite subject is English is selected. b. a student whose favorite sport is not basketball is selected. c. a student whose favorite subject is physics, favorite food is steak,and favorite sport is baseball is selected.

United Airlines' flights from Denver to Dallas are on time 90 % of the time. Suppose 5 flights are randomly selected, and the number of on-time flights is recorded.Round answers to 4 decimal places.a. The probability that exactly 3 flights are on time is .b. The probability that at most 4 flights are on time is .c. The probability that at least 4 flights are on time is .

A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference.a. In how many ways can 7 people be selected from this group of 13​?b. In how many ways can 7 Republicans be selected from the 8 ​Republicans?c. Find the probability that the selected group will consist of all Republicans.

Answer parts A, B, and C based on the following scenario.  A jar has 20 marbles: 5 green, 7 blue, 8 red. A. What is the probability of randomly choosing a red marble? Answer with a simplified fraction or a percentage rounded to the nearest whole number. B. What is the probability of randomly choosing a red or a green marble? Answer with a simplified fraction or a percentage rounded to the nearest whole number. C. What is the probability of randomly choosing a red and then a green marble (keep the red marble when you choose it)? Answer with a simplified fraction or a percentage rounded to the nearest tenth.