Probability

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Q1. In a lottery, there are 10 tickets, and 2 are winning tickets. What is the probability of picking a winning ticket?

Solution:

Probability = Number of winning tickets / Total tickets = 2/10 = 1/5.

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Q2. A box contains 5 white and 3 black balls. What is the probability of picking a black ball? (2021)

Solution:

Total balls = 5 + 3 = 8. Probability of black ball = 3/8.

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Q3. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a yellow marble?

Solution:

Total marbles = 4 + 6 = 10. Probability of yellow = 6/10 = 3/5.

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Q4. If two coins are tossed, what is the probability of getting at least one tail? (2023)

Solution:

The possible outcomes are HH, HT, TH, TT. The outcomes with at least one tail are HT, TH, TT (3 outcomes). So, the probability is 3/4.

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Q5. A jar contains 8 red and 4 blue marbles. What is the probability of selecting a blue marble?

Solution:

Total marbles = 8 + 4 = 12. Probability of blue marble = 4/12 = 1/3.

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Q6. If a die is rolled, what is the probability of getting an even number? (2022)

Solution:

Even numbers on a die = 2, 4, 6. Probability = 3/6 = 1/2.

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Q7. In a game, the probability of winning is 0.2. What is the probability of losing? (2019)

Solution:

The probability of losing is 1 - 0.2 = 0.8.

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Q8. A jar contains 4 green, 5 yellow, and 1 red marble. What is the probability of picking a yellow marble? (2019)

Solution:

Total marbles = 4 + 5 + 1 = 10. Probability of yellow = 5/10 = 1/2.

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Q9. If a student is selected at random from a group of 10 boys and 15 girls, what is the probability that the student is a girl? (2023)

Solution:

Total students = 10 + 15 = 25. Probability of girl = 15/25 = 3/5.

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Q10. A jar contains 7 red, 5 blue, and 8 green marbles. What is the probability of selecting a blue marble?

Solution:

Total marbles = 7 + 5 + 8 = 20. Probability of blue marble = 5/20 = 1/4.