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Question : A family has five children The probability of having a girl : 2151701

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

**Find the requested probability.**

1) A family has five children. The probability of having a girl is 1/2. What is the probability of having exactly 2 girls and 3 boys?

A) 0.6252

B) 0.0625

C) 0.3125

D) 0.0312

2) A family has five children. The probability of having a girl is 1/2. What is the probability of having no girls?

A) 0.0625

B) 0.1563

C) 0.3126

D) 0.0313

3) A family has five children. The probability of having a girl is 1/2. What is the probability of having exactly 3 girls and 2 boys?

A) 0.3125

B) 0.0625

C) 0.6252

D) 0.0313

4) A family has five children. The probability of having a girl is 1/2. What is the probability of having at least 4 girls?

A) 0.1875

B) 0.0313

C) 0.3125

D) 0.1563

5) A family has five children. The probability of having a girl is 1/2. What is the probability of having at least 3 boys?

A) 0.4688

B) 0.5000

C) 0.3125

D) 0.1563

6) A family has five children. The probability of having a girl is 1/2. What is the probability of having no more than 3 boys?

A) 0.3125

B) 0.9688

C) 0.8125

D) 0.5000

**A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result.**

7) Exactly zero fours

A) 0.424

B) 0.161

C) 0.0001

D) 0.402

8) Exactly one four

A) 0.502

B) 0.116

C) 0.402

D) 0.003

9) Exactly two fours

A) 0.216

B) 0.161

C) 0.002

D) 0.116

10) Exactly three fours

A) 0.003

B) 0.032

C) 0.402

D) 0.161

11) Exactly four fours

A) 0.003

B) 0.116

C) 0.402

D) 0.004

12) Exactly five fours

A) 0.001

B) 0.0001

C) 0.005

D) 0.116

**A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting the given result.**

13) Exactly four twos

A) 0.202

B) 0.075

C) 0.083

D) 0.101

14) Exactly two twos

A) 0.116

B) 0.011

C) 0.198

D) 0.159

15) More than three twos

A) 0.433

B) 0.905

C) 0.403

D) 0.564

16) Exactly five twos

A) 0.921

B) 0.083

C) 0.003

D) 0.129

17) Fewer than four twos

A) 0.769

B) 0.567

C) 0.364

D) 0.867

18) More than one two

A) 0.982

B) 0.870

C) 0.482

D) 0.005

**Find the requested probability.**

19) A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly four fives?

A) 0.9688

B) 0.3125

C) 0.0080

D) 0.5360

20) A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly three sixes?

A) 0.0536

B) 0.0594

C) 0.4441

D) 0.5362

21) A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly two fours?

A) 0.5681

B) 0.7182

C) 0.0621

D) 0.2009

22) A child rolls a 6-sided die 6 times. What is the probability of the child rolling no more than three twos?

A) 0.6774

B) 0.3812

C) 0.9649

D) 0.9913

23) What is the probability that 14 rolls of a fair die will show three fives?

A) 0.0454

B) 0.4536

C) 0.1134

D) 0.2268

24) What is the probability that 19 rolls of a fair die will show 6 ones?

A) 0.0109

B) 0.0544

C) 0.1088

D) 0.0272

25) A fair coin is tossed 5 times. What is the probability of no heads?

A) 0.0313

B) 0

C) 0.9688

D) 0.0625

26) A fair coin is tossed 5 times. What is the probability of exactly 4 heads?

A) 0.0625

B) 0.0313

C) 0.1250

D) 0.1563

27) What is the probability that 12 tosses of a fair coin will show 7 tails?

A) 0.3868

B) 0.0387

C) 0.1934

D) 0.0967

28) A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coin turns up tails on both tosses?

A) 38%

B) 24%

C) 38.44%

D) 62%

29) A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coin turns up heads once and tails once?

A) 23.56%

B) 38%

C) 47.12%

D) 62%

30) A coin is biased to show 45% heads and 55% tails. The coin is tossed twice. What is the probability that the coin turns up heads on the second toss?

A) 20.25%

B) 55%

C) 24.75%

D) 45%

**In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability of the event from a random sample of 10 students who are physics majors.**

31) Exactly 2 belong to an ethnic minority.

A) 0.0028

B) 0.2156

C) 0.1929

D) 0.1990

32) Exactly 4 do not belong to an ethnic minority.

A) 0.2564

B) 0.2253

C) 0.0547

D) 0.0467

33) Two or less belong to an ethnic minority.

A) 0.3070

B) 0.2888

C) 0.1990

D) 0.1080

34) Seven or more belong to an ethnic minority.

A) 0.0028

B) 0.0185

C) 0.0154

D) 0.0032

35) No more than 6 belong to an ethnic minority.

A) 0.0547

B) 0.9846

C) 0.913

D) 0.9815

**Find the probability of the event.**

36) A die is rolled 18 times and two threes come up.

A) 0.160

B) 0.060

C) 0.230

D) 0.099

37) A 10-question multiple choice test has 4 possible answers for each question. A student selects at least 6 correct answers.

A) 0.020

B) 0.995

C) 0.989

D) 0.118

38) The probability that a radish seed will germinate is 0.7. The gardener plants 20 seeds and she harvests 16 radishes.

A) 0.075

B) 0.130

C) 0.571

D) 0.068

39) On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Two of them die.

A) 0.666

B) 0.275

C) 0.170

D) 0.163

40) A battery company has found that the defective rate of its batteries is 0.03. Each day, 22 batteries are randomly tested. On Tuesday, 1 is found to be defective.

A) 0.110

B) 0.118

C) 0.348

D) 0.614