Flashcards
Independent Events, Using Counting Techniques to Determine Probabilities, Conditional Probability
Cards in this deck (20)
- 1If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages? A. 16 B. 12 C. 64 D. 81C.
64 - 2A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is ___5/16
- 3A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag. The probability of not drawing a black marble is ____ . The probability of drawing a red marble is ____4/5
3/10 - 4A coin is tossed 5 times in a row. What is the size of the sample space of this experiment? A. 5 B. 7 C. 10 D. 32D.
32 - 5An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin toss. If heads occurs, then a card is selected at random from the clubs and spades suits. If tails occurs, then a card is selected at random from the hearts and diamonds suits. What is the size of the sample space of this two-stage experiment? A. 26 B. 52 C. 104 D. 208B.
52 - 6—D. 5/9
- 7—D. 4/13
- 8A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random. The exact probability that Taylor picks an egg from the basket is ____29/40
- 9—D. 59/125
- 10—D. 2/11
- 11Each month, a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the month is 29% in January and 49% in February. What is the probability that she is awarded a blue ribbon in both January and February? A. 14.21% B. 19.51% C. 10.00% D. 21.81%A.
14.21% - 12You are performing two chemistry experiments. The probability that both experiments are successful is 22%. If the first experiment is successful, the probability that the second experiment is also successful is 31%. What is the probability that the first experiment is successful? A. 70.97% B. 62.56% C. 58.99% D. 67.81%A.
70.97% - 13Sara's little brother is getting ready to color a picture of a rainbow that Sara drew for him. To make the task easier for her brother, Sara picks out 7 different colored crayons that match the colors of the rainbow and places them in a box. She asks her brother to randomly pick two crayons from the box, one after the other. The probability that the first color is violet and the second is orange, if the first crayon is replaced, is ___. The probability that the first color is violet and the second is orange, if the first crayon is not replaced, is ___1/49
1/42 - 14Sue chooses a dress and necklace to wear when she performs at a violin recital. The probability that Sue selects a black dress is 40%. The probability Sue selects a gold necklace is 30%. What is the probability that Sue chooses a black dress and a gold necklace? A. 12% B. 35% C. 50% D. 70%A.
12% - 15If A and B are independent events, which equation must be true? A. P(B|A) = P(A) B. P(B|A) = P(B) C. P(B|A) = P(A) × P(B) D. P(B|A) = P(A) + P(B)B.
P(B|A) = P(B) - 16The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true? A. Events A and B are independent because P(A and B) = P(A) × P(B). B. Events A and B are independent because P(B|A) ≠ P(B). C. Events A and B are dependent because P(A and B) = P(A) × P(B). D. Events A and B are dependent because P(A|B) ≠ P(B).A.
Events A and B are independent because P(A and B) = P(A) × P(B). - 17The probability of event A is 0.56, and the probability of event B is 0.34. If A and B are independent events, then P(A and B) = ___0.1904
- 18The probability of event A is 0.65, and the probability of event B is 0.76. The probability of both event A and event B occurring is 0.494. Are events A and B dependent or independent? In this scenario, events A and B are ___ events.independent
- 19The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first card was replaced. If the two draws are defined as event A and event B, are the events dependent or independent? A. They are dependent because, based on the probability, the first ace was replaced before drawing the second ace. B. They are dependent because, based on the probability, the first ace was not replaced before drawing the second ace. C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace. D. They are independent because, based on the probability, the first ace was not replaced before drawing the second ace.C.
They are independent because, based on the probability, the first ace was replaced before drawing the second ace. - 20For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the tenths place. Brian's school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without repeating a number. The probability that the locker code begins with a prime number is __%. The probability that the last digit of the locker code is an odd number is __%.53
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- Mathematics (2nd TT) Flashcards on Independent Events, Using Counting Techniques to Determine Probabilities, Conditional Probability, created by Elexali Olayvar on 24/01/2021.
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