1. You have 5 invitations remaining for your wedding, and 10 possible guests to invite. (a) Unfortunately, your friends Brittannee and Amber had a falling out, so they cannot both be invited. How many possible different groups could you invite? (b) You decide that Brittannee and Amber are adults, and if they both get invited, that it's their problem and they can figure it out. Unbeknownst to you, the reason that they've had a falling out is that they have both been dating your friend Kevin, who is also one of the possible guests. If all three of them show up, it will ruin your wedding. You whisper "Jesus take the wheel" and select 5 of the guests at random to invite. What is the probability your wedding gets ruined?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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1. You have 5 invitations remaining for your wedding, and 10 possible guests to invite.
(a) Unfortunately, your friends Brittannee and Amber had a falling out, so they cannot both be invited.
How many possible different groups could you invite?
(b) You decide that Brittannee and Amber are adults, and if they both get invited, that it's their
problem and they can figure it out. Unbeknownst to you, the reason that they've had a falling out
is that they have both been dating your friend Kevin, who is also one of the possible guests. If all
three of them show up, it will ruin your wedding. You whisper "Jesus take the wheel" and select 5
of the guests at random to invite. What is the probability your wedding gets ruined?
2. A box contains one fair coin, three trick coins with heads on both sides, and two trick coins with tails
on both sides.
(a) If you randomly select one coin from the box, what is the probability it comes up heads?
Transcribed Image Text:1. You have 5 invitations remaining for your wedding, and 10 possible guests to invite. (a) Unfortunately, your friends Brittannee and Amber had a falling out, so they cannot both be invited. How many possible different groups could you invite? (b) You decide that Brittannee and Amber are adults, and if they both get invited, that it's their problem and they can figure it out. Unbeknownst to you, the reason that they've had a falling out is that they have both been dating your friend Kevin, who is also one of the possible guests. If all three of them show up, it will ruin your wedding. You whisper "Jesus take the wheel" and select 5 of the guests at random to invite. What is the probability your wedding gets ruined? 2. A box contains one fair coin, three trick coins with heads on both sides, and two trick coins with tails on both sides. (a) If you randomly select one coin from the box, what is the probability it comes up heads?
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