evansh78
05.08.2019 •
Mathematics
Astandard deck of playing cards is shuffled and three people each choose a card. find the probability that the first two cards chosen are spades and the third card is red if the cards are chosen with replacement, and if the cards are chosen without replacement. (a) the cards are chosen with replacement. (b) the cards are chosen without replacement.
Solved
Show answers
More tips
- D Dating, Love, Relationships Why do we feel shame?...
- S Style and Beauty How to Properly Apply Eye Makeup: Tips from a Professional Makeup Artist...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- F Food and Cooking Discover How to Properly Prepare Dough for Rasstegai...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
Answers on questions: Mathematics
- M Mathematics 16x-36=4xwhat does x equal?...
- M Mathematics What is the formula for finding the circumference of a circle?...
- M Mathematics Shawn bough fruit last week, consisting of 2.26 pounds of bananas,1.5 pounds of grapes, and watermelon that weighed 6.78 pounds. what is total weight,in pound, of...
- H History Why was trade with Europeans so destructive to Needham American life during the colonial period...
- M Mathematics Which line segment is a tangent? AN TE TN GN...
- M Mathematics Someone help me pls 10 points...
- S Spanish Does this sentence make sense:Ella juega futbol americano? pls help...
Ответ:
Part (a) The cards are chosen with replacement is 0.03125 or 1/32
Part (b) The cards are chosen without replacement is 0.0306 or 13/425.
Step-by-step explanation:
Consider the provided information.
A standard deck of playing cards is shuffled 3 cards are chosen.
In a deck of card 13 are spade out of 52 cards. 26 cards are red out of 52 cards.
We need to find the probability that the first two cards chosen are spades and the third card is red.
Part (a) The cards are chosen with replacement.
Suppose the first card is spade then the probability is P(A) = 13/52
As spade are 13 out of 52.
Now, the card is replaced back in the deck and we again draw a card. The probability of getting spade in second time is P(B) = 13/52.
The card is replaced back in the deck and we again draw a card. The probability of getting a red card in third time is P(C) = 26/52.
Now Multiply 3 fraction together as shown.
Hence, the probability of getting the first two cards chosen are spades and the third card is red if the cards are chosen with replacement is 0.03125 or 1/32.
Part (b) The cards are chosen without replacement.
Suppose the first card is spade then the probability is P(A) = 13/52
Now, the card is not replaced back in the deck and we again draw a card. The probability of getting spade in second time is P(B) = 12/51.
The probability of getting a red card in third time is P(C) = 26/50.
Now Multiply 3 fraction together as shown.
Hence, the probability of getting the first tow cards chosen are spades and the third card is red if the cards are chosen without replacement is 0.0306 or 13/425.
Ответ:
D. square the binomial, distribute 7 inside the parentheses, and then combine like terms
I just took the test on edge, this is correct :)