# 8.8.1. Probability

A numbered card is randomly selected from a set of similar cards numbered from 1 to 30 with no repetition. Find the probability of getting a card holding a number that is NOT divisible by 10.

• A
• B
• C
• D
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A numbered card is randomly selected from a set of similar cards numbered from 1 to 20. Find the probability of getting a card carrying a multiple of 4.

• A
• B
• C
• D
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A numbered card is randomly selected from a set of similar cards numbered from 1 to 40. Find the probability of getting a card carrying an odd number.

• A
• B
• C1
• D
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A survey was conducted to select the most favorable weight of the package of a washing powder. The manufacturing company asked a group of 300 women using their product about their favorite package weight. The following table lists the results:

 Weight (gm) Sum Frequency 300 125 250 375 500 75 72 78 75

What is the probability of randomly selecting a woman who prefers the 500 gm package?

• A
• B
• C
• D
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A survey was conducted to select the most favorable weight of the package of a washing powder. The manufacturing company asked a group of 300 women using their product about their favorite package weight. The following table lists the results:

 Weight (gm) Sum Frequency 300 125 250 375 500 63 75 81 81

What is the probability of randomly selecting a woman who prefers the 500 gm package?

• A 0.21
• B 0.27
• C 0.25
• D 0.75
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A survey was conducted to select the most favorable weight of the package of a washing powder. The manufacturing company asked a group of 300 women using their product about their favorite package weight. The following table lists the results:

 Weight (gm) Sum Frequency 300 125 250 375 500 68 84 72 76

What is the probability of randomly selecting a woman who prefers the 375 gm package?

• A
• B
• C
• D
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A box contains colored marbles consisting of 5 red ones, 8 green ones, and 4 yellow ones. If a marble is drawn at random, what is the probability of drawing a red marble?

• A
• B
• C
• D
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The following table shows the results of a survey of the most favorable transportation means to go to school:

Transportation Means Sum Number of Students 100 Bus Private Car Bicycle On Foot 4 17 27 52

If a student is randomly selected, find the probability of selecting a student who prefers walking.

• A0.17
• B0.27
• C0.4
• D0.52
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The table shows the results of a survey conducted on students’ means of commute to school. If a student is randomly selected, find the percentage representing the probability of selecting a student who commutes walking.

 Transportation Means Number of Students Bus Taxi Bicycle Walking 6 11 20 63

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A life insurance company studied a sample of 4 000 men between the ages of 50 and 60 years old. Given that it has been found that out of the sample 17 men passed away within a year, determine the probability of a man dying between 50 and 60 years old within a year.

• A
0.00425
• B
0.017
• C
0.0425
• D
0.000425
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A life insurance company studied a sample of 1 000 men between the ages of 40 and 50 years old. Given that it has been found that out of the sample 6 men passed away within a year, determine the probability of a man dying between 40 and 50 years old within a year.

• A 0.6
• B 0.06
• C
0.0006
• D
0.006
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A life insurance company studied a sample of 5 000 men between the ages of 40 and 50 years old. It has been found that out of this sample, 25 men had died in the span of one year. If the company signed life-insurance contracts with 60 000 men between 40 and 50 years old, how many death benefits are expected to be paid in the span of a year?

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A calculator manufacturing company performed a random examination of electronic circuits for a sample of 600 units in one day. If the defective production was of the sample, how many units would be defective on the same day?

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While producing 200 electric lamps, 15 were found defective. If a single lamp is drawn randomly, what is the probability of it being defective?

• A
0.015
• B 0.75
• C
0.0075
• D
0.075
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During a soccer team training for the world cup final match, player A scored 23 goals out of 24 kicks and player B scored 12 goals out of 21 kicks. Who will the coach choose to kick penalties during the match?

• AA
• BB
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A calculator manufacturing company performed a random examination of electronic circuits. The defective production was of the sample. If the total production in a certain day is 1 600 units, how many units will not be ready for marketing on the same day?

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While producing 500 electric lamps, 29 were found defective. If the daily production rate of the factory is 2 000 electric lamps, find the number of the non-defective units in a day.

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A garment factory produces 8 000 shirts daily. Upon examining a sample of 1 600 shirts, 50 defective ones were found. Calculate the number of defective shirts that can be found in a daily production.

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The table below shows the grades of 50 students in an exam. If a student is randomly selected, find the probability of his score being less than good.

 Scores Number of Students Excellent Very Good Good Pass Fail 2 10 16 19 3

• A0.6
• B0.32
• C0.38
• D0.44
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A factory produces two types of shirts. The factory conducted a survey to adjust the production quantity according to the market requirements. Samples of 100 sold shirts are chosen from each of the 5 shopping centers of the factory.

 Number of Shopping Center Sold Amount of Type A Sold Amount of Type B (1) (2) (3) (4) (5) 35 66 29 44 53 65 34 71 56 47

If the total production of this factory is 3 000 shirts, how many of them should be of type A?

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The following table shows the evaluation of 50 students in one month:

 Scores Number of Students Excellent Very good Good Pass Fail 6 8 16 18 2

If a student is randomly selected, find the probability of his score being good.

• A
• B
• C
• D
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A garment factory produces 9 000 shirts daily. Upon examining a sample of 500 shirts, 18 defective ones were found. Evaluate the number of non-defective shirts that can be found in a daily production.

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A team plays 50 matches in a national league. Its probability of winning is 0.5, and that of losing is 0.3. Find the estimated number of tied matches.

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Upon randomly drawing a colored marble out of a bag containing 30 similar marbles colored red, white, green and yellow, the probability of getting a white marble is . Evaluate the number of white marbles in the bag.

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In a fruit packaging plant, 23 of the fruit are not suitable for exportation because their size is too small. Find the number of tonnes that can be exported in 28 days given 71 tonnes of fruit are supplied to the factory every day.

• A
54.67
tonnes
• B
457.24
tonnes
• C
1 530.76
tonnes
• D644 tonnes
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The results of a survey that has been conducted among 100 students on their favourite sports are shown by the table below. If a student is randomly selected, determine his probability of preferring football.

 Favorite Sport Number of Students Football Handball Athletics Tennis Basketball 32 14 5 23 26

• A 0.05
• B
0.997
• C 0.32
• D 0.14
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A survey has been conducted among 100 students on their favorite sports and the result was as follows:

 Favorite Sport Number of Students Football Handball Athletics Tennis Basketball 8 21 6 35 30

Determine the predicted number of students who practice basketball if the number of students is 200.

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A survey has been conducted among 112 students on their favorite sports and the result was as follows:

 Favorite Sport Number of Students Football Handball Athletics Tennis Basketball 27 40 9 29 7

Find the probability of finding a student who does NOT prefer athletics.

• A
0.741
• B 0.08
• C
0.643
• D 0.92
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