A card is drawn from a well-shuffled deck of 52 cards find p. find p(drawing an ace or a 9). İn how many ways can 2 cards be drawn from a well-shuffled deck of 24 playing cards? Carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards. İn how many ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards?
You play the following game from a well-shuffled deck of 52 cards. A hand consists of 44 cards from a well-shuffled deck of 52 cards. A card is drawn from a well-shuffled deck find the probability that it is a face card. All answers & details are below.
A card is drawn from a well-shuffled deck of 52 cards find p
A card is drawn from a well-shuffled deck of 52 cards. Solution:
- Number of cards in a deck = 52
- Let us find the probability of getting a face card
- P (face card) = 12/52
- P (4) = 4/52
- P(Drawing a face card or a 4) = P(4) + P(Face card)
- Substituting the values
- = 4/52 + 12/52
- So we get
- = 16/52
- = 4/13
- Therefore, P (Drawing a face card or a 4) is 4/13.
A card is drawn from a well-shuffled deck of 52 cards. Find P(Drawing a face card or a 4)?
- Summary:
A card is drawn from a well-shuffled deck of 52 cards. P(Drawing a face card or a 4) is 4/13.
The subject of a card is drawn from a well-shuffled deck of 52 cards find p continues.
İn how many ways can 2 cards be drawn from a well-shuffled deck of 24 playing cards?
İn how many ways can 2 cards be drawn from a well-shuffled deck of 52 playing cards? a) 2 b) 1 c) 1,326 d) 2,652 e) 4 f) none of the above.
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Two cards can be played from a deck of well shuffled cards in 1326 ways.
In mathematics, permutation is the process of arranging each component of a set in the same order or sequence. In other words, rearranging a set’s elements if they are currently ordered is the process of permuting. Mathematicians use permutations in almost all academic fields.
When different orderings on a specific finite set are taken into account, they frequently arise. When choosing components from a collection that used the combination method, the sequence of selection is immaterial, as contrast to permutations.
- There are exactly 52 cards in a standard deck
- Number of ways 2 cards can be drawn is 52C2
- We know that
- Solving we get 1326
Therefore two cards can be played from a deck of well shuffled cards in 1326 ways.
The subject of a card is drawn from a well-shuffled deck of 52 cards find p continues.
Carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards.
Carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards. what is the possibility that she chooses 4 spades and 2 cards that are not spades. The possibility that she chooses 4 spades and 2 cards that are not spades is 0.026.
- What are permutation and combination?
A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
We know a deck of 52 playing cards has 13 hearts, 13 clubs, 13 spades,
- 13 diamonds.
Carrie draws 6 cards simultaneously from a well-shuffled deck of 52.
∴ The possibility that she chooses 4 spades and 2 cards that are not spades is,
= .
As from 13 spade cards 4 are chosen, so now we are left with (52 – 4) = 48
and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 – 9) = 39.
- = (13!/(13 – 4)!×4!)×(39!/(39 – 2)!×2!)/52!/(52 – 6)!×6!
- = (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)
- = (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)
- = (529815)/(20358520)
- = 0.026.
İn how many ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards?
İn how many ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards?
You play the following game from a well-shuffled deck of 52 cards
Consider the following card game with a well-shuffled deck of cards. If you draw a red card, you win nothing. If you get a spade, you win $76.36. For any club, you win $83.53 plus an extra $16.1 for the ace of clubs. What is the expected value of your winnings if you play the game?
First, we can calculate the probability of drawing each type of card:
- Probability of drawing a red card: 26/52 = 1/2
- Probability of drawing a spade: 13/52 = 1/4
- Probability of drawing a club that is not an ace: 12/52 = 3/13
- Probability of drawing the ace of clubs: 1/52
The expected value of winnings is just the sum of the products of the probabilities and the corresponding winnings:
- E(winnings) = (1/2) × 0 + (1/4) × 76.36 + (3/13) × (83.53 + 16.1) + (1/52) × (83.53 + 16.1)
- E(winnings) = 41.64
Hence, the expected value of your winnings if you play the game is 41.64$.
The subject of a card is drawn from a well-shuffled deck of 52 cards find p continues.
A hand consists of 44 cards from a well-shuffled deck of 52 cards.
A hand consists of 44 cards from a well-shuffled deck of 52 cards. a. Find the total number of possible 44-card poker hands. b. A redred flush is a 44-card hand consisting of all redred cards. Find the number of possible redred flushes. c. Find the probability of being dealt a redred flush. a. There are a total of nothingm poker hands. b. There are nothingm possible redred flushes. c. The probability is nothing. Asnwer, next time.
The subject of a card is drawn from a well-shuffled deck of 52 cards find p continues.
A card is drawn from a well-shuffled deck find the probability that it is a face card
A deck of playing cards consists of 52 cards out of which 26 are black cards and other 26 are red cards, where red cards consists of 13 cards of heart , 13 cards of diamond and black cards consists of 13 cards of spades and 13 cards are club. (The subject of a card is drawn from a well-shuffled deck of 52 cards find p continues.)
13 cards in each suit are king ,queen, Jack, 10, 9,8,7,6, 5, 4, 3 and 2.
King, queen ,and jack are called face cards. Total number of face cards are 12.
SOLUTION:
Total number of outcomes = 52
i) Favourable outcomes = 12 cards are of face cards
Number of favourable outcomes= 12
Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(face card) = 12/52= 3/13
Hence, the probability that the card drawn is face card 3/13.
ii) Total number of red face card= 3+3=6
Number of favourable outcomes= 6
Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(red face card) = 6/52= 3/26
Hence, the probability that the card drawn is red face card 3/26.
iii) Total number of black face card= 3+3=6
Number of favourable outcomes= 6
Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(black face card) = 6/52= 3/26
Hence, the probability that the card drawn is black face card 3/26. The subject of a card is drawn from a well-shuffled deck of 52 cards find p is over.