What is the probability-numbers matched the winning numbers

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(1) The adult population of a country is 30,000,000. A survey of 1% of of the population showed that 200,000 of those surveyed would vote yes an the referendum. If an adult is chosen at random, what is the probability that that person would vote no?

(2) In the game Lotto 525 you pick 5 numbers from 1 to 25. What is the probability that your numbers matched the winning numbers?

(3) There are 10 faculty members and 30 students. A committee will be formed with 6 faculty members and 2 students. How many different committees can be formed?

(4) In a class with 30 math majors, 40 business majors, 10 nursing majors, and 20 kinesiology majors were selected we know that 8 math majors, 10 business majors, 4 nursing majors, and 5 kinesiology majors were on honor roll last year. (a) What is the probability of selecting a honour roll student if one person is selected at random? (b) What is the probability that a student selected at random from this group is a business major, given that the student is on honour roll?

(5) You are given P r(A) = 10/35 and P r(B|A) = 3/20. What is P r(A ∩ B)?

Reference no: EM132474150

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