![Kimbeeeerly7631](/avatars/12409.jpg)
Kimbeeeerly7631
05.03.2020 •
Mathematics
In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic tiles decorated with different botanical herbs. The tiles will be installed in a custom-made wooden panel. The tile supplier has 12 different herb designs to choose from, and the builder selects 8 of these 12 at random. Suppose the order in which the tiles are arranged on the splash-guard does not matter. Fill in the blanks. (Give your answers to four decimal places.)
Two of the 12 herb tiles contain a blue tint that matches the kitchen color scheme. The probability that these 2 tiles will be included in the splash-guard is __.
The family actually grows 5 of the 12 herbs in a backyard garden. The probability that all 5 of these will be included on the splash-guard is _
Solved
Show answers
More tips
- F Food and Cooking What age is appropriate for giving your child cocoa?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- S Sport How to Do a Jumping Split...
- H Health and Medicine How Did Inna Lose Weight on Dom 2?...
- F Family and Home How to Properly Fold Napkins in a Napkin Holder?...
- F Food and Cooking How to Set Up Ventrilo - The Ultimate Guide...
- S Science and Technology How to Make a Homemade Smoker: The Ultimate Guide...
- A Auto and Moto Battle for the Relocation of The Cherkizovsky Market: Who Won?...
Answers on questions: Mathematics
- M Mathematics If 600 people responded to a survey and 210 responded positively while 350 responded negatively , what is the ratio between positive and negative responses ? ( Express the ratio...
- M Mathematics 3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising. (a) What is the recursive rule for the sequence?...
- M Mathematics find the area of a rectangle whose length is 8 and breath is 3...
- M Mathematics The first term of an arithmetic sequence is 4. The rule an = an+1 + 5 can be used to find the next term of the sequence. a. 4 b. 5 C. 9 d. -1...
- M Mathematics 1...150 workers were engaged to finish a piece of work incertain number of days. four workers dropped the second day,four more workers dropped the third day and so on. It takes8...
- M Mathematics At 6 am alicia pours a cup of tea whose temperature is 200 F. the tea starts to cool to room temperature (72 F). An exponential model for the temperature of the tea is y=128(0.988)^x...
- M Mathematics John the car salesman makes a commission on selling cars, as a percentage of the price, which depends on the car being new or used ( PreOwned ?). His commission on used cars...
- M Mathematics Make a Conjecture Would you expect the probability for the simple event rolling a 6 to be greater than or less than the probability of the compound event rolling a 6 and getting...
- M Mathematics Please help, thank you!...
- M Mathematics Can someone please check this am I correct if I am not please explain it and answer it correctly...
Ответ:
(a) 0.4242
(b) 0.0707
Step-by-step explanation:
The total number of ways of selecting 8 herbs from 12 is
(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then
Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.
The probability =![\dfrac{210}{495}=0.4242](/tpl/images/0534/3537/e254b.png)
(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then
This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.
The probability =![\dfrac{35}{495}=0.0707](/tpl/images/0534/3537/034f8.png)
Ответ: