In bold and italic are the answers I got I am hoping someone
In bold and italic are the answers I got. I am hoping someone can check to see if they are correct thank you.
QUESTION 1
If you are dealt a 5-card hand from a standard deck of 52 playing cards, what is the probability (rounded to 6 decimal places) that you are dealt at least 4 hearts?
0.000495
0.002641
0.010729
0.011224
0.013907
QUESTION 2
Suppose that a company has 6-digit ID numbers consisting of numbers fro 0-9. How many such ID numbers contain no 7\'s and have no repeated digits?
5,920
13,340
30,240
60,480
None of These
QUESTION 3
Suppose that a resturant offers a $14.95 meal package which consists of an appetizer, an entree, a beverage, and a dessert. If there are 6 different appetizers, 8 different entrees, 9 different beverages, and 5 different desserts to pick from, how many different meal packages can be formed?
28
2,160
20,475
491,400
None of These
QUESTION 4
Suppose that a bag contains 8 balls numbered 1-8. If three balls are drawn from the bag one at a time without replacement, how many different series of draws can occur that do not contain a 5?
35
56
210
336
None of These
QUESTION 5
Suppose that a bag contains 3 red, 9 white, and 5 blue balls. If three balls are taken out of the bag at once, what is the probability (rounded to 4 decimal places) that exactly two of them are blue?
0.0108
0.0147
0.0588
0.1176
0.1765
QUESTION 6
In a case of 144 boxes of light bulbs, it is found that exactly 4 boxes contain at least one broken light bulb. If 5 boxes are selected from the case at random, what is the probability (rounded to 4 decimal places) that none of the boxes will contain a broken light bulb?
0.8669
0.8915
0.9454
0.9643
0.9722
QUESTION 7
A standard 8-crayon box of Crayola crayons contains 1 red, 1 orange, 1 yellow, 1 green, 1 blue, 1 purple, 1 brown, and 1 black crayon. If 3 crayons are chosen from the box at random, what is the probability (rounded to 4 decimal places) that exactly 1 of them will be of a color that starts with the letter B?
0.1231
0.1786
0.3333
0.4395
0.5357
QUESTION 8
How many distinct permutations are there of the letters in DISTINCT?
784
1,280
7,776
40,320
None of These
QUESTION 9
Suppose that you have 3 different math books, 4 different chemistry books, and 5 different biology books that you wish to put on a bookshelf. In how many ways can this be done if all of the books of each type must be placed together (all of the math books need to be together, all of the chemistry books need to be together, and all of the biology books need to be together)?
17,280
103,680
216,000
479,001,600
None of These
QUESTION 10
A senate committee is made up of 7 Democrats, 6 Republicans, and 1 Independent. From this committee a 3 member subcommittee is chosen to attend an overseas conference. How many subcommittees can be formed that consist of at least 2 Republicans?
35
120
140
154
None of These
| 0.000495 | ||
| 0.002641 | ||
| 0.010729 | ||
| 0.011224 | ||
| 0.013907 |
Solution
Q1)
dealt at least 4 hearts = 13 C 4 * 39 C 1 + 13 C 5 / 52 C 5 = 0.11223
Q2)
six digit number contain no\'s 7 = 1*9*8*7*6*5+9*1*8*7*6*5+9*8*1*7*6*5+9*8*7*1*6*5+9*8*7*6*1*5+9*8*7*6*5*1= 5(9*8*7*6*5*1) = 75600
Q3) 6*8*9*5 = 2160
Q4) 7 * 6 * 5 = 210


