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Calculating Probability

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  • (0:01) Definition of Probability: Probability measures how likely an event is to happen, ranging from 0 (impossible) to 1 (certain), or from 0% to 100%.
  • (0:30) Basic Probability Calculation: Probability of an event = (Number of favourable outcomes) / (Total number of outcomes). For example, drawing a red ball from 10 balls, where 3 are red, has a probability of 3/10 or 30%.
  • (1:39) Experimental Probability: When exact values are unknown, estimate probability by repeating an experiment. More trials helps to get experimental probability closer to true probability values.

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Calculating Probability

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Q: If you have a bag with 5 balls, 3 red and 2 blue, what is the probability of drawing a red ball?

 

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Q: A bag contains 12 balls, 3 red and 9 blue. What is the probability of drawing a blue ball?

 

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Q: A box contains 6 red marbles, 8 green marbles, and 10 blue marbles. What is the probability of drawing a green marble?

 

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Q: You roll a fair six-sided die. What is the probability of rolling a number greater than 4?

 

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Q: You draw a marble from a bag 500 times, and the results show 150 red marbles, 200 blue marbles, and 150 green marbles. What is the experimental probability of drawing a red marble?

 

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Q: If you flip a fair coin 10 times, does it guarantee that exactly half of the flips will be heads and half tails?

 

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