Probability Questions & Answers

A group of students sat for the BM and English papers in an exam. Their results are summarized as shown : \( 75 \% \) pass BM, \( 70 \% \) pass English, \( 40 \% \) fail in at least one of the subjects. A student is selected from the group, (a) Find the probability that the student passes only one of the two subjects. (b) Given that the students passes BM or English, find the probability that the student did not pass English.

P(number is NOT 9)

4. A bag contains only blue, green, and red marbles. A marble is drawn at random. The probability the marble is blue is \( \begin{array}{llll}\text { (a) } 0 & \text { (b) } 1 & \text { (c) between } 0 \text { and } 1 & \text { (d) None of these } \\ \text { Impossible } & \text { Between impossible and certain }\end{array} \) 5. A bag contains only blue, green, and red marbles. A marble is drawn at random. The probability the marble is red or blue is \( \begin{array}{llll}\text { (a) } 0 & \text { (b) } 1 & \text { (c) between } 0 \text { and } 1 & \text { (d) None of these } \\ \text { 6. A bag contains only blue, green, and red marbles. A marble is drawn at random. The probability the } \\ \text { marble is red, green, or blue is } & \text { (b) } 1 & \text { (c) between } 0 \text { and } 1 & \text { (d) None of these } \\ \begin{array}{llll}\text { (a) } 0 & \text { (b) } 1 & \text { (c) between } 0 \text { and } 1 & \text { (d) None of these }\end{array}\end{array} \begin{array}{ll}\text { (a) } 0 & \end{array} \)

The probability of an impossible event is The probability of an event that is certain to happen is

Jeff is working on shooting free throws in basketball. Of the 72 shots he has attempted, he has made 54 . What is the probability Jeff's next shot will go in based on his rate so far. Select the best answer, and work must be shown to receive any credit.

8. You have 4 red, 6 black, 3 blue, 2 yellow, and 5 purple marbles. Find each of the following: \( \begin{array}{ll}\text { (a) Probability of selecting a purple marble. } & \text { (b) Probability of selecting a black marble. } \\ \begin{array}{ll}\text { (c) Probability of selecting a black or blue } \\ \text { marble. } & \text { (d) Probability of selecting a yellow or red } \\ \text { marble. }\end{array} \\ \begin{array}{ll}\text { (e) Probability of selecting an orange marble. } & \text { (f) } P(\text { red, black, blue, yellow, or purple) }\end{array}\end{array} ⿴ \begin{array}{l}\text { (b) }\end{array} \)

Mr. Brown's classroom, there are 12 boys and 18 girls. If Mr. Brown chooses a student to question in his classroom, what is the probability that the student he chooses is a boy?

According to fightstats com, American Airlines filghts from Dallas to Chicago are on time \( 80 \% \) of the time Suppose 15 filghts are randomly selected, and the number (a) Explain why this is a binomial experiment. (b) Determine the values of \( n \) and p. (c) Find and interpret the probability that exactly 9 fights are on time. (d) Find and interpret the probability that fower than 9 fights are on time. (e) Find and interpret the probability that at least 9 fights are on time. (f) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time.

5. Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls. He will pick one ball at random. What is the probability that the next ball he randomly chooses will be red or green?

Jomework According to fightstats.com, American Airlines flights from Dallas to Chicago are on time \( 80 \% \) of the tin (a) Explain why this is a binomial experiment. (b) Determine the values of \( n \) and p . (c) Find and interpret the probability that exactly 9 flights are on time. (d) Find and interpret the probability that fewer than 9 flights are on time. (e) Find and interpret the probability that at least 9 flights are on time. (f) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply.