![anggar20](/avatars/15818.jpg)
anggar20
13.02.2020 •
Mathematics
Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1 five (this is one way to get a "straight")? (Round your answer to five decimal places.) (b) What is the probability that we draw any straight (including "straight flush" and "royal straight flush" hands)? (Round your answer to four decimal places.)
Solved
Show answers
More tips
- S Society and Politics Why are thugs called gopniks ? A fascinating journey through Russian subculture...
- A Animals and plants Want a Perfect Lawn? Learn How to Plant Grass the Right Way...
- A Animals and plants How to Properly Care for a Pet Decorative Rabbit at Home?...
- C Computers and Internet How to Check the Speed of My Internet?...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
Answers on questions: Mathematics
- M Mathematics Can someone answer this question please answer it correctly if it’s. Corect I will mark you brainliest...
- M Mathematics 2x^2 +6 = 30 complete the square...
- H History Answer 1-5.No links How did the Second Great Awakening contribute to reform movements?What resulted from the Nat Turner Rebellion?How did women s social and labor position...
Ответ:
Step-by-step explanation:
As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.
Number of ways to draw 5 cards =![N_T](/tpl/images/0509/6019/ebbde.png)
(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).
(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are
.
For each card we can draw from any of the 4 sets. It can be described mathematically as:![({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]](/tpl/images/0509/6019/8aff0.png)
Therefore, the total outcomes for drawing straight are:
Thus, the probability of getting a straight hand is:
Ответ: