(a) Draw a tree diagram to illustrate all the possible outcomes and associated probabilities. State your probabilities clearly. (b) Find the conditional probability that the second card is NOT blue given that the first card is red. (c) Find the probability that a red card and a green card are drawn from the box.
(a) Draw a tree diagram to illustrate all the possible outcomes and associated probabilities. State your probabilities clearly. (b) Find the conditional probability that the second card is NOT blue given that the first card is red. (c) Find the probability that a red card and a green card are drawn from the box.
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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Question
![A box contains 3 blue, 2 red and 1 green cards. Two cards are drawn at random
from the box without replacement.
(a) Draw a tree diagram to illustrate all the possible outcomes and associated
probabilities. State your probabilities clearly.
(b) Find the conditional probability that the second card is NOT blue given that
the first card is red.
(c) Find the probability that a red card and a green card are drawn from the box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98a2975c-b075-4e7f-95a3-3742d529c071%2F0f2702fe-52f9-42e7-b76f-b83a5199c2f2%2F6dgw6t_processed.png&w=3840&q=75)
Transcribed Image Text:A box contains 3 blue, 2 red and 1 green cards. Two cards are drawn at random
from the box without replacement.
(a) Draw a tree diagram to illustrate all the possible outcomes and associated
probabilities. State your probabilities clearly.
(b) Find the conditional probability that the second card is NOT blue given that
the first card is red.
(c) Find the probability that a red card and a green card are drawn from the box.
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