# 9.8.1. Operations on Events

If a ball is randomly drawn out of a box that contains 8 white balls and 4 red ones, determine the probability of it being white.

• A0
• B1
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• D
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If a card is randomly drawn from a set of identical cards numbered from 1 to 5, find its probability of having an even number.

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If a card is randomly drawn from a set of identical cards numbered from 1 to 41, find its probability of having a number that is divisible by 4.

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If the spinner shown has been turned, what is the probability of it landing on the green colour?

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If a card is randomly drawn from a set of identical cards numbered from 1 to 19, find its probability of having an odd prime number.

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If a die is tossed once, determine the probability of getting an even prime number.

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• D0
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A set of identical cards numbered from 1 to 16 has been shuffled. If is the probability of getting a card having an even number and is the probability of getting a number that is divisible by 4, find the probability of the occurrence of and .

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A card is drawn from a set of well-shuffled identical cards numbered from 1 to 20 with no repetition. If is the the event of getting a card having an even number, is the event of getting a card having a number that is divisible by 6, and is the event of getting a card having a prime number that is greater than 17, determine the probability of or occurring.

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Using the following venn diagram, find

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• D0
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and are two mutually exclusive events of a random experiment. Given that and , find .

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A and B are two events in the sample space of a random experiment. Given that , , and , determine .

• A0.44
• B0.14
• C1
• D0.06
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Given that A and B are two events in the sample space of a random experiment, where , , and , determine .

• A0.27
• B0.02
• C0.49
• D0.29
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Given that and are two outcomes of a random experiment, , , and , find .

• A0.62
• B0.38
• C0.24
• D0.86
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A set of identical cards numbered from 1 to 10 with no repetition were shuffled well. If a card is drawn at random, find the probability of the number on it being divisible by 4.

• A0.3
• B0
• C0.2
• D0.1
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If a ball is randomly drawn from a box containing 100 balls; 14 of them are red, 49 are blue, and the remainder are white, find the probability that the drawn ball is NOT white approximating the result to the nearest thousandth if needed.

• A0.86
• B0.63
• C0.51
• D0.37
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A set of identical cards numbered from 1 to 15 with no repetition were shuffled well. If a card is randomly drawn, find its probability of holding a number divisible by 3 and divisible by 5.

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If and are two events from a sample space of a random experiment, , , and , determine .

• A0.91
• B0.03
• C0.09
• D0.94
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If and are two mutually exclusive events, , , determine .

• A0.99
• B0.63
• C0.38
• D0.61
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If , then equals .

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• D0
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A set of identical cards numbered from 1 to 39 with no repetition were shuffled. If a card is randomly drawn, find the probability that the drawn card is carrying a number that is a multiple of 4.

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and are two mutually exclusive events from a sample space of a random experiment. The probability of occurrence of event is five times times that of event . If the probability of one of the two events occurring is at least 0.18, find the probability of event occurring.

• A0.15
• B0.18
• C0.03
• D0.12
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Upon rolling an irregular die, the probability of getting the numbers , and 5 are equal, and that of getting the number 6 is three times the probability of getting the number 1. Calculate the probability of getting an odd prime number.

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and are two events from a sample space . The number of outcomes that lead to the occurrence of the event is 9, the number of all possible outcomes of the random experiment is 33, , and . Determine the probability of occurrence of the two events together.

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The table below shows the data of 245 people who went to an exhibition. If one of them is randomly chosen, find the probability that the chosen visitor is a woman or foreigner.

GenderNationalForeignerTotal
Man5984143
Woman9012102
Total14996245

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