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2. A standard 52-card deck consists of 4 suits (hearts, diamonds, clubs, and spades) Each suit has 13 cards: 10 are pip cards (numbered 1, Or ace, 2 through 10) and...

Question

2. A standard 52-card deck consists of 4 suits (hearts, diamonds, clubs, and spades) Each suit has 13 cards: 10 are pip cards (numbered 1, Or ace, 2 through 10) and 3 are face cards (jack, queen, and king). You randomly draw card then place it back If it is a pip card, you keep the deck as is If it is a face card, You eliminate all the pip cards Then, you draw new card: What is the probability you draw the queen of hearts in the end?

2. A standard 52-card deck consists of 4 suits (hearts, diamonds, clubs, and spades) Each suit has 13 cards: 10 are pip cards (numbered 1, Or ace, 2 through 10) and 3 are face cards (jack, queen, and king). You randomly draw card then place it back If it is a pip card, you keep the deck as is If it is a face card, You eliminate all the pip cards Then, you draw new card: What is the probability you draw the queen of hearts in the end?



Answers

A standard deck of cards has 52 cards divided into four suits: clubs, diamonds, hearts, and spades. Each suit has 13 cards consisting of an ace, a king, a queen, a jack, and cards numbered from 2 to $10 .$ Assume that one card is selected from a standard deck. For Exercises $37-48$, find the probability of selecting the indicated card. A face card (face cards are jacks, queens, and kings)

Let be off a denote the probability off selecting a spade car, which is equal to the number off speed card divided by the total number off cards, which is equal to 13 upon 52 Now. Probability off. Selecting a hard car is equal to a number of hard cars divided by the total number off cars, which is equal toe 13 upon 52. Now we need to find the probability off selecting a spade card or ah heart card, which is equal toe be off a union at which is equal to P off a plus B off etch minus B off a in the section edge since be off a is equal toe 13 upon 52 you're fetch physical toe touching upon 52. Since the heart card and spade are not common, so frivolity off it into section B intersection edge is equal to zero, so just become 26 upon 50 toe, which is equal to one upon to So this is our answer

Let and no fetch. You know, it's the number off hard cars which are equal to 13. And let enough s denote the total number off cards which article toe 52. Now we need to find the probe. Lt off. Selecting a heart card which is equal to P off H is equal to number off hard Carl's divided by the total number off cards, which is equal toe 13 upon 50 do which is again equal to four upon one A bone four. So this is a real answer.

Lead B o A. Or B denotes the ability of selecting ah card off diamond old card with number two, which is equal to the P off a Robel tee off selecting a diamond card plus probe lt. Or selecting a guard with number two minus probe. Lt off selecting uh oh God! With number two off diamond, which is equal to number off diamond cards divided by the total number of cars plus number off cars with number two do I do by the total number of cars minus number off diamond card with number two and divided by the total number of cards. So we're putting the value of and no fe. We have 13 and by putting the value of an office, it is equal to 52. We have 13 upon 52 now, by putting the value Pandolfi and manifest, it becomes four upon 52 my putting the value open off a intersection B a bone and no fest. We have one upon 15 to now by simply find it, we have 16 upon 50 do, which is equal to four. Upon starting that is about cancer

Let enough all denote the number of red cards, which are equal to 26 off denotes the jacks, which are equal to four, and end off s denote. Don't total number of cards which are equal do 52. Now the operability off. Selecting a red card p off our physical to 26 upon 52 and the probability off a deck is equal to P off Jay Z called toe number of Jack's divided by the total number off cars, which is equal to four upon 52. No Beal, our intersection j denotes the ability off a red card and a jack, which is equal to two. A bone 52 Let and off our union j denotes the rebel t off a Red Guard or mobility off Jack, which is equal to Beale's r plus t o j minus B off Odd intersection J. Now we're putting the value of p off R P off J and P off our intersection. J we have 26 upon 52 plus four upon 50 to minus two upon 50 toe logistical toe 28 upon 52 which is equal to 14 upon 26 which is equal to seven. A bone cutting. This is our answer


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