2 A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two earrings are drawn at random with replacement. Find the probability that they are made of different metals.
2 A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two earrings are drawn at random with replacement. Find the probability that they are made of different metals.
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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![Exercise 7H
0.95
1 Denise can catch a local bus or an express
bus to take her to work each day. The
probability she catches the local bus
is 0.8. If she catches the local bus, the
probability that she is on time for work is
0.5. If Denise catches the express bus, the
probability that she is on time for work is
On time
Express
bus
Late
0.5
-On time
0.8
Local
bus
Late
0.95.
a Copy and complete the tree diagram below:
b Hence calculate the probability that
Denise will be late for work.
2 A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two
earrings are drawn at random with replacement. Find the probability that they are made of
different metals.
3 Chevy plays a game with four fair cubical dice numbered (1,2, 3, 4, 5, 6). She throws the four
dice 160 times and finds that the event "throw at least one 6" occurs 77 times. She wonders
what the theoretical probability is. She finds the answer after critically considering these four
representations of the problem. Identify the best representation and justify your answer.
Identify the worst representation and justify your answer.
Tree diagram with each of
the four throws represented
as below, giving a total of 16
branches
Tree diagram with each
of the four thre{ws repre- calculation.
sented as below, giving
A quick and easy
application of probability
A quick and easy
laws.
a total of 1296 branches](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf9512bc-3e4b-4479-a75f-bd8aefefec98%2F0fe51775-9513-4d07-a436-58ed7573c72f%2F1cf33kj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 7H
0.95
1 Denise can catch a local bus or an express
bus to take her to work each day. The
probability she catches the local bus
is 0.8. If she catches the local bus, the
probability that she is on time for work is
0.5. If Denise catches the express bus, the
probability that she is on time for work is
On time
Express
bus
Late
0.5
-On time
0.8
Local
bus
Late
0.95.
a Copy and complete the tree diagram below:
b Hence calculate the probability that
Denise will be late for work.
2 A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two
earrings are drawn at random with replacement. Find the probability that they are made of
different metals.
3 Chevy plays a game with four fair cubical dice numbered (1,2, 3, 4, 5, 6). She throws the four
dice 160 times and finds that the event "throw at least one 6" occurs 77 times. She wonders
what the theoretical probability is. She finds the answer after critically considering these four
representations of the problem. Identify the best representation and justify your answer.
Identify the worst representation and justify your answer.
Tree diagram with each of
the four throws represented
as below, giving a total of 16
branches
Tree diagram with each
of the four thre{ws repre- calculation.
sented as below, giving
A quick and easy
application of probability
A quick and easy
laws.
a total of 1296 branches
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