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A bag contains 2 red, 6 blue, 7 yellow, and 3 orange marbles. Once a marble is selected, it is not replaced. Find the probability.
16) P(2 orange)
18) P(2 yellows in a row then orange)
A die is rolled and a spinner like the one at the right is spun, Find each probability.
20) P(3 and D)
22) P(a prime number and A)
Raffle tickets numbered 1 through 30 are placed in a box. Tickets for a second raffle numbered 21 to 48 are placed in another box. One ticket is randomly drawn from each box. Find each probability.
24) Both tickets are even.
26) The first ticket is greater than 10, and the second ticket is less than 40 or odd.
Safety – For exercises 28-31 use the following information.
A carbon monoxide system uses two sensors, A and B. If carbon monoxide is present, there is a 96% chance that sensor A will detect it, a 92% chance that sensor B will detect it, and a 90% chance that both sensors will detect it.
28) Draw a Venn Diagram that illustrates this situation.
29) If carbon monoxide is present, what is the probability that it will be detected?
30) What is the probability that carbon monoxide would go undetected?
31) Do sensors A and B operate independently of each other? Explain
Geometry – For exercises 41-43, use the figure and the following information.
Two of the six non-straight angles in the figure are chosen at random.
41) What is the probability of choosing an angle inside ?ABC or an obtuse angle?
42) What is the probability of selecting a straight angle or a right angle inside ?ABC?
43) Find the probability of picking a 20 degree angle or a 130 degree angle.
A dart is thrown at a dartboard like the one of the right. If the dart can land anywhere on the board, find the probability that it lands in each of the following.
44) A triangle or a red region.
45) A trapezoid or a blue region.
46) A blue triangle or a red triangle.
47) A square or a hexagon.
For exercises 10-13, the spinner shown is spun…