# 5.4.1. Experimental Probability

A coin is tossed 350 times. If the number of occurrences of tails is 178, what is the probability of getting heads?

• A
• B
• C
• D 172
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A coin is tossed 200 times. If the number of occurrences of tails is 102, what is the probability of getting heads? Round the result to the nearest thousandth if needed.

• A 0.51
• B 0.66
• C 0.49
• D 0.5
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A coin is tossed 700 times. If the number of occurrences of heads is 353, what is the number of occurrences of tails?

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The results of a survey on 20 students' favorite breakfast food are shown in the table below. Evaluate the number of students who prefer cheese if the total number of students is 400.

 Breakfast Number of Students Fries Pie Cheese 10 2 8

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An electric lamps manufacturing company keeps track of a sample of 1000 lamps of its production to determine the lifespan of their product. The following table shows the data acquired:

 H (Maximum Working Hours) Number of Lamps Less than 150 150 H 400 400 H 1000 More than 1000 150 320 270 260

What is the probability of a bulb failing before 150 working hours?

• A
• B
• C
• D
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An electric lamps manufacturing company keeps track of a sample of 1000 lamps of its production to determine the lifespan of their product. The following table shows the data acquired:

 H (Maximum Working Hours) Number of Lamps Less than 150 150 H 400 400 H 1000 More than 1000 100 320 270 310

What is the probability of a bulb failing after 400 working hours?

• A
• B
• C
• D
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The following table shows the results of a survey that was conducted to ask 20 students about their favorite breakfast. If a student is picked at random, what is the probability of him preferring fries?

 Breakfast Number of Students Fries Pie Cheese 10 2 8

• A
• B
• C
• D
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A survey was conducted to ask 10 students about the foreign language they prefer to study the most. If 5 students prefer English, 2 students prefer French, and 3 students prefer German, what is the probability of a student preferring German?

• A
• B
• C
• D
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A survey on 80 students’ preference to studying foreign languages has been conducted. The survey shows that 40 students prefer English, 24 prefer French, and 16 prefer German. If the total number of students in the school is 200 students, how many students are expected to prefer English?

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If a dice is rolled 300 times, how many times do you predict to get a prime number?

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If a die is rolled 750 times, how many times do you expect to get an even number that is greater than 1?

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If a die is rolled 150 times, how many times do you expect to get an odd number that is greater than 2?

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If a dice is rolled 150 times, how many times do you predict to get a number divisible by 3?

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The following table lists the results of a survey conducted on 100 TV spectators:

 Program Number of Spectators Arabic Movies Foreign Movies TV Series News Football 14 19 14 16 37

If a spectator is randomly selected, what is the probability of selecting one who prefers watching Arabic movies?

• A
• B
• C
• D
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The results of a survey that has been conducted on 80 students’ games preferences are shown in the table below. How many students out of 700 prefer football?

 Game Number of Students Football Basketball Table Tennis Swimming 32 24 8 16

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The following table shows the results of a survey that has been conducted to ask 30 students about their game preferences. If a student is chosen at random, what is the probability of basketball being his favorite game?

 Game Number of Students Football Basketball Volleyball Swimming 12 9 3 6

• A
• B
• C
• D
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Tourists successively visit Egypt. A tourist company has organized a trip for 400 tourists to visit Egypt, 160 of them are from Arab countries, 120 are from Europe, 40 are from America, and 80 are from Australia. The number of tourists who visited Egypt in a specific month was 5000 tourists. What is the predicted number of tourists from Europe who visited Egypt during this month?

• A 1000
• B 1500
• C 500
• D 2000
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In a school, a random sample of 280 students, including boys and girls, was selected from 1 695 ones. Given that the sample had 112 girls, determine the expected number of girls in the school.

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A spinner has 8 equal sectors of different colours, where one of them is green. If the spinner is spun 56 times, how many times is it expected to stop at the green sector?

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A farm has 1 800 cows, where the probability that they get infected with the mad cow disease is 0.33. Determine the number of cows that are expected to get infected.

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Three sisters take turns in cleaning their house, where they roll a die with three faces numbered 1, one face numbered 2, and two faces numbered 3. The eldest sister does the cleaning when number 1 appears, the middle one does it when number 2 appears, and the youngest one does it when number 3 appears. How many times do you predict that the middle one does the cleaning within 12 days?

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During a football team training, one of the players shot 31 penalty kicks and scored 24 goals while another player shot 20 penalty kicks and scored 10 goals. Which of them should be chosen to shoot a penalty kick?

• Aplayer one
• Bplayer two
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According to a survey, it was found that 24 out of 120 school students prefer reading comic books. How many students out of 500 ones do you think prefer not to read such books?

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