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Multiple choice Questions on theoretical probability.

1.A package contains 9 candy canes, 6 of which are cracked. If 2 are selected, find the probability of getting no cracked candy canes.
0.3852
0.1938
0.2870
0.0833
2. In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl.
2/3
1/6
1/3
1/2
3.In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
0.7717
0.7605
0.8524
0.8808
4. In a classroom, the students are 11 boys and 1 girls. If one student is selected at random, find the probability that the student is a girl.
1/12
6/11
1/5
5/6
5.How many 3-digit codes using the digits 0 through 9 are possible if repetitions are allowed?
504
729
30
1000
6.A single card is drawn from a deck. What is the probability of getting a queen or a king?
3/52
1/13
7/52
2/13
7.If a die is rolled one time, find the probability of getting a number greater than 0.
1/6
0
1
5/6
8.A box contains five blue, eight green, and three yellow marbles. If a marble is slected at random, what is the probability that it is not blue?
1/11
5/16
11/16
1/5
9.How many different three letter permutations can be formed from the letters in the word clipboard?
336
544,320
504
729
10.Find the maturity value.
Principal = $1,400
Rate =16%
Compounded =Quarterly
Time = 6 years
$1,586.98
$3,588.63
$1,636.60
$1,516.23
11.The odds against an event are 9:8. Find the probability that the event will occur.
8/9
8/17
9/17
9/8
12.Two dice are rolled. Find the probability of getting a sum greater than 8.
0
13/36
2/9
5/18
13.How many ways can a person select four books, two CDs, and one DVD from ten books, twenty CDs, and five DVDs?
8,000
405
6,724,520
199,500
14.A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack.
1/13
1/26
4/13
1/52
15.The number 3,4,5 are called Pythagorean triples since 3² + 4² = 5². The numbers 5,12,13 are also Pythagorean triples since 5² + 12² = 13². Can you find any other Pythagorean tyiples? Actually there isa set of formulas that will generate in infinite number of Pythagorean triples.
You select at least 5 more Pythagorean triples. Show why your 5 set of Pythagorean in the Pythagorean theorem formula.

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Solution Attachment

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