# 6.8.3. Probability

If a regular die is tossed once to take its count, determine the probability of having a number greater than 5.

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In a school’s idol competition 68 boys and girls applied. If the probability of the winner being a girl is , find the total number of girls who participated.

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A box contains 9 similar cards, each of which is holding a number divisible by 5 from 15 to 55. If a card is randomly selected, determine its probability of being divisible by 2 as well.

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A card is selected at random from a set of 16 cards numbered from 1 to 16. Determine the probability of selecting a card carrying an even number.

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A card is selected at random from a set of 30 cards numbered from 1 to 30. Determine the probability of selecting a card carrying a number that is less than 20.

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If a card is selected at random from a set of 16 cards numbered from 1 to 16, determine the probability of selecting a card carrying a number divisible by 2.

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A box contains 7 blue balls and 3 white ones. If a ball is drawn at random, find the probability of drawing a white ball.

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13 women suffering from overweight are waiting in a clinic to meet a doctor. If the weights of 4 of them are between kg and kg, and the weights of the others are between kg and kg, determine the probability of the entrance of a patient weighing between kg and kg.

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19 women suffering from over weight are waiting in a clinic to meet a doctor. If the weights of 8 of them are between kg and kg, and the weights of the others are between kg and kg, determine the probability of the entrance of a patient weighing less thankg.

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26 women suffering from over weight are waiting in a clinic to meet a doctor. If the weights of 12 of them are between kg and kg, and the weights of the others are between kg and kg, determine the probability of the entrance of a patient weighing less thankg.

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In a class of 50 students, 33 have passed the mathematics test, and 31 have passed the Arabic test. If a student is chosen at random, determine his probability of having failed Arabic.

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In an experiment of forming a two-digit number from the digits , determine the probability of getting a number that has an even digit in the units digit.

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A meeting was held to discuss the problems of 28 workers of both men and women. If the probability of the representative being a man is , find the number of women in the meeting.

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The following table shows the grades of 31 students in mathematics:

If one of the students is randomly chosen, determine his probability of being an advanced student.

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When tossing a regular dice once and taking its count, find the probability of having a number less than or equal to 4.

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Upon throwing a regular die once and observing its upper face, the probability of getting a number satisfying the inequality of is .

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Upon throwing a regular die once and observing its upper side, find the probability of getting a number that satisfies the inequality .

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A box contains 8 blue, 4 green, 9 yellow balls. If a ball is drawn at random, find the probability of the selected ball NOT being blue.

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A box contains 7 red , 8 yellow, and 5 blue balls. If a ball is drawn at random, find the probability of it being neither yellow nor blue.

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A box contains 5 yellow balls, 9 white ones, and 8 red ones. If a ball is drawn at random, find the probability of drawing a white ball.

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