A bag of 32 tulip bulbs contains 14 red tulip bulbs, 8 yellow tulip bulbs, and 10 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. (a) What is the probability that the two randomly selected tulip bulbs are both red? (b) What is the probability that the first bulb selected is red and the second yellow? (c) What is the probability that the first bulb selected is yellow and the second red? (d) What is the probability that one bulb is red and the other yellow? (a) The probability that both bulbs are red is (Round to three decimal places as needed.)

A classroom contains 10 girls and 8 boys. You need to randomly select some of the students for testing. You cannot select the same student twice.(a) What is the probability of randomly selecting a girl?(b) If you randomly selected two students, what is the probability of selecting two boys?(c) You randomly select three students. What is the probability that the third student you select is a girl, given the first two were boys?(d) What is the most likely outcome when randomly choosing two students: selecting two of the same gender (2 boys or 2 girls), or choosing a boy-girl pair? Explain your reasoning.

A bag contains 8 red marbles, 5 white marbles, and 10 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?The probability that all the marbles are red is    .What is the probability that exactly two of the marbles are red?The probability that exactly two of the marbles are red is    .What is the probability that none of the marbles are red?The probability of picking no red marbles is

A box (Call it Box A) contains four red marbles and three blue marbles. Box B (another box) contains three red and three blue marbles. Find the probability that, when a marble is drawn from each box (a) Both are red (b) One is red and the other is blue

A bowl contains six blue chips and three red chips. Three chips are to be drawn successively at random and without replacement. Find the probability that the first draw results in a red-chip (A), the second draw results in a blue-chip (B), and the third draw results in a blue-chip (C).

On Monday and Wednesday night, Raymond went to bed listening to music on his phone. The phone contains music from 3 different composers. 5 songs are Palestrina, 1 song is Bach and 4 songs are Beethoven. His phone plays music in a random order. What is the probability that on both nights Raymond fell asleep listening to the same composer?