Becky was trying to figure out the probability of drawing two face cards in a row from a deck of cards when the first card is replaced in the deck. She determined that the probability of choosing the first card and it being a face card would be 12/52. She then determined that the probability of the second card being a face card is 11/52. To find the probability of both she added the two separate probabilities. Determine if Becky is correct in her findings of the probability. If not, distinguish where she made her mistake and modify her work to find the correct answer. Becky's work: A. P(drawing a face card first) = B. P(drawing a face card second) = C. P(drawing two face cards) = 프로프로 II 23

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Becky was trying to figure out the probability of drawing two face cards in a row from a deck of
cards when the first card is replaced in the deck. She determined that the probability of choosing
the first card and it being a face card would be 12/52. She then determined that the probability of
the second card being a face card is 11/52. To find the probability of both she added the two
separate probabilities. Determine if Becky is correct in her findings of the probability. If not,
distinguish where she made her mistake and modify her work to find the correct answer.
Becky's work:
A. P(drawing a face card first) = 52
B. P(drawing a face card second) =
C. P(drawing two face cards) = 1/2
52
11
52
52 52
||
Transcribed Image Text:Becky was trying to figure out the probability of drawing two face cards in a row from a deck of cards when the first card is replaced in the deck. She determined that the probability of choosing the first card and it being a face card would be 12/52. She then determined that the probability of the second card being a face card is 11/52. To find the probability of both she added the two separate probabilities. Determine if Becky is correct in her findings of the probability. If not, distinguish where she made her mistake and modify her work to find the correct answer. Becky's work: A. P(drawing a face card first) = 52 B. P(drawing a face card second) = C. P(drawing two face cards) = 1/2 52 11 52 52 52 ||
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