A. If somebody rolls a die without showing you but announces that the result is even, what is the chance that a 6 has been obtained ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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EXERCISE:
P(6|even) = P(6 N even)/P(even) = P(6)/P(even)
= P(6)/[P(2) + P(4) + P
A. If somebody rolls a die without showing you but announces that the
result is even, what is the chance that a 6 has been obtained ?
B. Suppose that somebody rolls two dice (red and blue) without
showing you but announces that at least one 6 has been scored. What
then is the probability that the red die scored a 6?
Transcribed Image Text:EXERCISE: P(6|even) = P(6 N even)/P(even) = P(6)/P(even) = P(6)/[P(2) + P(4) + P A. If somebody rolls a die without showing you but announces that the result is even, what is the chance that a 6 has been obtained ? B. Suppose that somebody rolls two dice (red and blue) without showing you but announces that at least one 6 has been scored. What then is the probability that the red die scored a 6?
C. Suppose that somebody draws a card and announces that it is
from the heart suit. What then is the probability that it is a picture
card?
D. If it is known that a card from the heart suit is obtained, then
intuitively the conditional probability of the card being A?
Transcribed Image Text:C. Suppose that somebody draws a card and announces that it is from the heart suit. What then is the probability that it is a picture card? D. If it is known that a card from the heart suit is obtained, then intuitively the conditional probability of the card being A?
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