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Binomial Probability Practice

Total questions: 15

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

If p = 82%, what is q?

a)

0.82

b)

0.41

c)

0.18

d)

0.6724

2.

Given n = 13 and p = 0.19 for a binomial distribution, find probability when r = 4

a)

0.1399

b)

9.88

c)

0.81

d)

0.1539

3.

X is the number of heads when a fair coin is flipped 12 times


Find the probability of flipping a coin and landing on heads 4 times.

a)

0.12

b)

0.19

c)

0.81

d)

0.93

4.
When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?
a)
0.161
b)
0.965
c)
0.015
d)
0.997
5.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

6.

In a survey, it is found that 25% of the bulbs in a particular shop are spoilt. Find the probability that out of 10 bulbs,

(a) exactly 3 bulbs are spoilt,

(b) more than 8 bulbs are in good condition.

a)

(a) 0.2613; (b) 0.2540

b)

(a) 0.2503; (b) 0.2440

c)

(a) 0.3533; (b) 0.4440

d)

(a) 0.2563; (b) 0.2540

7.
What does the n stand for in the binomial probability formula?
a)
Number of trials
b)
Number of Successes
c)
Probability of Successes
d)
Probability of Failures
8.

What does the q or (1-p) stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

9.

You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over no more than 6 pedestrians?

a)

0.985

b)

0.015

c)

0.988

d)

0.012

10.
What does the p stand for in the binomial probability formula?
a)
Number of trials
b)
Number of Successes
c)
Probability of Successes
d)
Probability of Failures
11.

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

a)

50%

b)

17.62%

c)

58.81%

d)

41.19%

12.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally.

a)

3.42

b)

1.03

c)

0.072

d)

0.199

13.

Suppose 39% of Americans will vote for a presidential candidate in the independent party on election day.  If a random sample of 8 voters are selected, what is the probability that more than 5 will vote for that independent candidate?

a)
.9635
b)
.0365
c)
.9561
d)
.0439
14.

You are playing against Mr. Foreman in a student/faculty basketball game. You know he is terrible at free throws (he has an 8% accuracy rate), so you keep fouling him. If he attempts 18 free throws, what is the probability that he makes at most 3 of them?

a)

0.05

b)

0.95

c)

0.17

d)

0.83

15.

Let n = 20, q = .6, Find the probability of 12 successes.

a)

3.55%

b)

35.55%

c)

24%

d)

12.90%