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Modern Maths – Probability

Q.1. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Q.2. An unbiased die is rolled and a coin is tossed. What is the probability that the die shows in odd number and the coin shows a head?
Q.3. What is the probability of getting all three heads in three consecutive throws of a coin?
Q.4. A lab has 100 computers numbered from 1 to 100. what is the probability of selecting a computer having a perfect squared number allotted to it?
Q.5. Three unbiased dice are simultaneously thrown in a game. What is the probability of getting at least one six?
Q.6. Two unbiased dice are thrown. What is the probability that the sum obtained on both the dice is less than or equal to 4?
Q.7. A school’s sports department has 2 footballs, 3 cricket bats, 4 hockey sticks and 5 volleyballs. If a student takes only one item, what is the probability that it is either a cricket bat or football?
Q.8. A bag contains 8 green balls, 5 blue balls, 4 red balls and 7 white balls. Two balls are randomly taken out of the bag, without replacement. What is the probability that both the balls are of the same colour?
Q.9. Three boys and two girls are sitting in a row of five chairs randomly. What is the probability that: No two people of the same gender are sitting together.
Q.10. Seven solutions are to be filled in seven bottles corresponding to their colours. Out of these, six are already filled in the bottles corresponding to their respective colours. What is the probability of all the solutions not being in their respective bottles?
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