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Very Short Answers Type Questions: Probability

Question 1. A die is thrown once. Find the probability of getting a prime number.
Solution:
Number of possible outcomes = 6
Number of favourable outcomes = 3
∴ 2, 3 and 5 are prime numbers
∴ Required probability = (3/6) or (1/3)


Question 2. A coin is thrown once. Find the probability of getting a head.
Solution:
Number of possible outcomes = 2
Number of favourable outcome = 1
∴ The required probability = (1/2)


Question 3. From a group of 2 boys and 3 girls, we select a child. Find the probability of this child being a girl.
Solution:
Total number of outcomes = 3 + 2 = 5
Number of favourable outcomes = 3
∴ The required probability = (3/5)

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FAQs on Very Short Answers Type Questions: Probability

1. What is probability?
Ans. Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. It is represented as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
2. How is probability calculated?
Ans. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The probability of an event is equal to the ratio of favorable outcomes to the total outcomes.
3. What is the difference between theoretical probability and experimental probability?
Ans. Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. Experimental probability, on the other hand, is based on actual data collected from experiments or observations.
4. What are independent events in probability?
Ans. Independent events in probability are events that do not affect each other's outcomes. The occurrence of one event does not influence the probability of the other event.
5. How do you calculate the probability of two independent events occurring together?
Ans. To calculate the probability of two independent events occurring together, you multiply the probabilities of each event happening individually. This can be represented as P(A and B) = P(A) * P(B), where P(A) and P(B) are the probabilities of events A and B respectively.
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