Probability — Flashcards
Gujarat Board · Class 10 · Mathematics
20 flashcards for Probability (Gujarat Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "What is theoretical probability.
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What is theoretical probability and how is it different from experimental probability?
Answer
Theoretical probability (also called classical probability) is calculated using the formula P(E) = Number of favorable outcomes / Total number of possible outcomes, assuming equally likely outcomes. I…
State the formula for theoretical probability of an event E.
Answer
P(E) = Number of outcomes favorable to E / Number of all possible outcomes of the experiment. This formula assumes that all outcomes of the experiment are equally likely. This definition was given by …
What does 'equally likely outcomes' mean? Give an example.
Answer
Equally likely outcomes means that each possible outcome has the same chance of occurring. Example: When tossing a fair coin, getting heads and getting tails are equally likely outcomes because each h…
What is the probability of a certain (sure) event?
Answer
The probability of a certain or sure event is 1. This is because a certain event will definitely happen, so the number of favorable outcomes equals the total number of possible outcomes. Example: The …
What is the probability of an impossible event?
Answer
The probability of an impossible event is 0. This is because an impossible event can never happen, so the number of favorable outcomes is 0. Example: The probability of getting a 7 when rolling a stan…
What is the range of values that probability can take?
Answer
The probability of any event E is a number P(E) such that 0 ≤ P(E) ≤ 1. The probability is always between 0 and 1, inclusive. It cannot be negative or greater than 1.
What is an elementary event? Give an example.
Answer
An elementary event is an event that has only one outcome. Examples: When rolling a die, getting exactly 3 is an elementary event. When drawing a card, getting the King of Hearts is an elementary even…
What is the sum of probabilities of all elementary events in an experiment?
Answer
The sum of the probabilities of all elementary events of an experiment is always 1. This is because one of the elementary events must occur, making it a certain event with probability 1. Example: For …
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