# 9.8.2. Complementary Events and the Difference between Two Events

If and , find the complementary of .

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A classroom has 49 students; 23 of them read Al-Akhbar newspaper, 21 read Al-Ahram newspaper and 5 read both. If a student is selected at random, calculate the probability that the student reads Al-Ahram newspaper.

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If the probability of occurrence of an event A is , find the probability that the event does NOT occur.

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and are two events of a random experiment, where , , and . Find the probability of non-occurrence of at least one of the events.

• A0.3
• B0.6
• C0.1
• D0.5
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Given that the English alphabet letters is a sample space of 26 letters, , and , find .

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• B0
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If and are two events in a random experiment, , and , then .

• A0.49
• B0.63
• C0.77
• D0.14
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Given that and are two mutually exclusive events of a random experiment, where and , determine .

• A0.24
• B0.37
• C0.02
• D0.39
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Given that , , and , determine .

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Given that and are two events of a random experiment, where and , find .

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If , , and , determine .

• A0.53
• B0.09
• C0.8
• D0.91
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If and are two events of a random experiment, where , , and , find .

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If and are two mutually exclusive events of a sample space of a random expermint, and , find .

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

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A card is drawn randomly from 85 identical cards numbered from 1 to 85, find the probability that the number on the drawn card is NOT a perfect square.

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If the probability that a team wins the national league in a country is 0.254, find its probability of NOT winning.

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0.873
• B
0.746
• C1
• D
0.254
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A bag has a number of identical balls; 78 balls of them are green, and the rest are blue. Given that the probability of drawing a blue ball is , determine the number of the blue balls.

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A bag contains 94 identical balls numbered from 1 to 94. If a ball is chosen randomly, where event is getting an odd number and event is getting a prime number, find .

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