Are the following events independent? (Write the word "independent" or "dependent".) 1. Rolling a die and spinning a wheel. 2 Selecting a male from a club to go to a conference considering that there are both males and females in the club and you pick a male first and then another male second. 3. Rolling two dice and getting a four on the first roll and 10 on the second roll. You go to a donut shop. All the donuts you purchase are wrapped up identically. There are 7 crème filled, 6 jelly filled, 2 chocolate filled, and 5 with no filling. Find the probability of the following: 4. Albert and Becky both choose jelly donuts 5. Albert chooses a chocolate-filled donut and Becky chooses one with no filling 6. Albert picks a crème filled, replaces it, and then picks a jelly donut. Two cards are dealt out in succession from a standard 52-card deck, no replacement unless indicated. Find the probability: 7. Heart second, given that heart first 8. Spade second, given that diamond first 9. Second card is a face card, given that the first is a King 10. P(King, King) without replacement 11. P(Ace, Queen) with replacement 12. P(no fours) without replacement

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Are the following events independent? (Write the word "independent" or "dependent".)
1. Rolling a die and spinning a wheel.
2 Selecting a male from a club to go to a conference considering that there are both males and
females in the club and you pick a male first and then another male second.
3. Rolling two dice and getting a four on the first roll and 10 on the second roll.
You go to a donut shop. All the donuts you purchase are wrapped up identically. There are 7 crème
filled, 6 jelly filled, 2 chocolate filled, and 5 with no filling. Find the probability of the following:
4. Albert and Becky both choose jelly donuts
5. Albert chooses a chocolate-filled donut and Becky chooses one with no filling
6. Albert picks a crème filled, replaces it, and then picks a jelly donut.
Two cards are dealt out in succession from a standard 52-card deck, no replacement unless
indicated. Find the probability:
7. Heart second, given that heart first
8. Spade second, given that diamond first
9. Second card is a face card, given that the first is a King
10. P(King, King) without replacement
11. P(Ace, Queen) with replacement
12. P(no fours) without replacement
Transcribed Image Text:Are the following events independent? (Write the word "independent" or "dependent".) 1. Rolling a die and spinning a wheel. 2 Selecting a male from a club to go to a conference considering that there are both males and females in the club and you pick a male first and then another male second. 3. Rolling two dice and getting a four on the first roll and 10 on the second roll. You go to a donut shop. All the donuts you purchase are wrapped up identically. There are 7 crème filled, 6 jelly filled, 2 chocolate filled, and 5 with no filling. Find the probability of the following: 4. Albert and Becky both choose jelly donuts 5. Albert chooses a chocolate-filled donut and Becky chooses one with no filling 6. Albert picks a crème filled, replaces it, and then picks a jelly donut. Two cards are dealt out in succession from a standard 52-card deck, no replacement unless indicated. Find the probability: 7. Heart second, given that heart first 8. Spade second, given that diamond first 9. Second card is a face card, given that the first is a King 10. P(King, King) without replacement 11. P(Ace, Queen) with replacement 12. P(no fours) without replacement
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