1.4-1. Two cards are drawn from a 52-card deck (the first is not replaced). (a) Given the first card is a queen, what is the probability that the second is also a queen? (b) Repeat part (a) for the first card a queen and the second card a 7. (c) What is the probability that both cards will be a queen?
1.4-1. Two cards are drawn from a 52-card deck (the first is not replaced). (a) Given the first card is a queen, what is the probability that the second is also a queen? (b) Repeat part (a) for the first card a queen and the second card a 7. (c) What is the probability that both cards will be a queen?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Q 1.4-1
![E Peyton Z. Peebles Jr. - Probabilit
O File | C:/Users/Isra/Downloads/Peyton%20Z.%20OPeebles%20Jr.%20-%20Probability,%20Random%2..
Q O D Page view | A Read aloud
V Draw v
Y Highlight
O Erase
29
of 240
with probability , while its other numbers all have probabilities of . The same
probabilities apply to the other die except the number 3 is "weighted."
Determine the probability the shooter will win outright by having the sum
of the numbers showing up be 7. What would be the probability for fair dice?
1
1
1.4-1. Two cards are drawn from a 52-card deck (the first is not replaced).
(a) Given the first card is a queen, what is the probability that the second is
also a queen?
(b) Repeat part (a) for the first card a queen and the second card a 7.
(c) What is the probability that both cards will be a queen?
1.4-2. An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards up.
What is the probability that all four cards are sevens?
1.4
1.4-3. For the resistor selection experiment of Example 1.4-1, define event D as
"draw a 22-S2 resistor," and E as "draw a resistor with 10% tolerance."
find P(D), P(E), P(DNE), P(D]E), and P(E|D).
1.4-4. For the resistor selection experiment of Example 1.4-1, define two mutually
ovclusive evente R. and R. cuch that R. U B. = S.
7:36 PM
3/20/2021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04ed6fc0-526e-49ad-9bf2-97a0377b04c9%2F5c2dca18-051c-476b-a988-2ab7987a1509%2Fge4lsc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:E Peyton Z. Peebles Jr. - Probabilit
O File | C:/Users/Isra/Downloads/Peyton%20Z.%20OPeebles%20Jr.%20-%20Probability,%20Random%2..
Q O D Page view | A Read aloud
V Draw v
Y Highlight
O Erase
29
of 240
with probability , while its other numbers all have probabilities of . The same
probabilities apply to the other die except the number 3 is "weighted."
Determine the probability the shooter will win outright by having the sum
of the numbers showing up be 7. What would be the probability for fair dice?
1
1
1.4-1. Two cards are drawn from a 52-card deck (the first is not replaced).
(a) Given the first card is a queen, what is the probability that the second is
also a queen?
(b) Repeat part (a) for the first card a queen and the second card a 7.
(c) What is the probability that both cards will be a queen?
1.4-2. An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards up.
What is the probability that all four cards are sevens?
1.4
1.4-3. For the resistor selection experiment of Example 1.4-1, define event D as
"draw a 22-S2 resistor," and E as "draw a resistor with 10% tolerance."
find P(D), P(E), P(DNE), P(D]E), and P(E|D).
1.4-4. For the resistor selection experiment of Example 1.4-1, define two mutually
ovclusive evente R. and R. cuch that R. U B. = S.
7:36 PM
3/20/2021
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