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If you have 8 red cards and 6 blue cards in your right hand, but your left hand is empty. a. You picked the card one by one, what is the probability that the third card is red? b. You chose 5 cards, what is the probability that 3 of them are blue? Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. Find the conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue

If you have 8 red cards and 6 blue cards in your right hand, but your left hand is empty. a. You picked the card one by one, what is the probability that the third card is red? b. You chose 5 cards, what is the probability that 3 of them are blue? Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. Find the conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue

A First Course in Probability (10th Edition)
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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 please give me right solution according to the question.

Note: I have solution but again don't post same solution 

Now the pro ba bi li tieg are 15 13 14 13 13 14 14 13 12 = 0.1538 to1099+01538+0.1538 O:5713 6 proba bility f 3 blue cards fYom 5 ads (3 Hue cards fom 6) * (2 cards f som Red 8) (5 cards from 14) 560 bc3 20 * 28 2002 2002 14 C5 = |০१7१7 %3D © P(2 Rede 2 Blue | Bluo et lept hond) = © P(2 Pe P(?RU2B n / Blue at left hand) P (IBlue at left hand) T4 C4 8c3 4. 14CX 14c4 14 C4 14C4 0.2098 0.4895 %3D o.4286
Transcribed Image Text:Now the pro ba bi li tieg are 15 13 14 13 13 14 14 13 12 = 0.1538 to1099+01538+0.1538 O:5713 6 proba bility f 3 blue cards fYom 5 ads (3 Hue cards fom 6) * (2 cards f som Red 8) (5 cards from 14) 560 bc3 20 * 28 2002 2002 14 C5 = |০१7१7 %3D © P(2 Rede 2 Blue | Bluo et lept hond) = © P(2 Pe P(?RU2B n / Blue at left hand) P (IBlue at left hand) T4 C4 8c3 4. 14CX 14c4 14 C4 14C4 0.2098 0.4895 %3D o.4286
If you have 8 red cards and 6 blue cards in your right hand, but your left hand is empty. You picked the card one by one, what is the probability that the third card is red? а. b. You chose 5 cards, what is the probability that 3 of them are blue? Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. Find the conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue
Transcribed Image Text:If you have 8 red cards and 6 blue cards in your right hand, but your left hand is empty. You picked the card one by one, what is the probability that the third card is red? а. b. You chose 5 cards, what is the probability that 3 of them are blue? Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. Find the conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue
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