1. Determine the following conditional probabilities. Consider a bag with marbles, 3 blue marbles, 2 red marbles, and 5 green marbles. Three marbles are drawn in sequence and are taken without replacement. Reduced Fraction Reduced Fraction: i. P(2« draw: blue | 1st draw: red) = ii. P P(2“ draw: blue | 1st draw: blue) = Reduced Fraction: Reduced Fraction iii. P(3ª draw: blue | 1st draw: red, 2ª draw: blue) = i1. P P(1ª draw: blue | 1st draw: red) =

A jar contains 10 red marbles, 34 white marbles and 5 blue marbles. Draw two marbles out of the jar, with replacement*. Find the following probabilities: Give results as decimal rounded to three places or as a product of fractions. a) Probability both are Red P(Red, Red) = b) Probability the first is Red and second is White P(Red, White) = c) Probability that the first is White and second is NOT Blue P(White, not Blue) = *With replacement means the first marble is replaced in the jar before the second is drawn.

In a large vase, there are 34 roses, 10 daisies, 15 lilies, and 1 orchids. If 2 flowers are selected at random,Enter your answer as a fraction or a decimal rounded to 3 decimal places. Probability of at least 1 Orchid

1. Students can belong to one or more of three clubs, call them A,B, and C. The probability that a student belongs to either club A or B, but not C, is P((AUB)NC^) 40%. Moreover, the probability that a student belongs to either club A or B, and club C is 15%. Lastly, the probability that a student belongs only to club C, and neither A or B, is 20%. Find the probability that a student does not belong to any club.