Probability
Manocha Academy・14 minutes read
Probability is a measure of uncertainty in events like coin tosses and dice rolls, with formulas predicting outcomes accurately. The range of probability is from 0 to 1, where 0 represents an impossible event and 1 a certain event, with complementary events totaling 1.
Insights
- Probability is a measure of uncertainty in events like coin tosses and dice rolls, calculated by dividing favorable outcomes by total outcomes.
- The range of probability is from 0 to 1, where 0 signifies an impossible event, 1 denotes a certain event, and complementary events combine to have a total probability of 1.
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Recent questions
What is probability?
Chance of an event occurring.
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Summary
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Understanding Probability in Simple Events
- Probability is a measure of uncertainty used in various events like coin tosses, dice rolls, and card draws.
- When tossing a coin, the probability of getting heads is 50%, with one favorable outcome out of two possibilities.
- The probability formula is the number of favorable outcomes divided by the total outcomes, predicting results accurately over multiple trials.
- Rolling a dice with six outcomes, the probability of getting a five is 1/6 or 16.67%.
- The probability of getting an even number when rolling a dice is 1/2, with three favorable outcomes out of six total outcomes.
- The probability of getting a 7 on a dice is 0, representing an impossible event.
- The probability of getting a number less than 10 on a dice is 1, a certain event with all outcomes favorable.
- Probability ranges from 0 to 1, with 0 indicating an impossible event and 1 a certain event.
- Complementary events have a combined probability of 1, with the probability of an event not happening being 1 minus the probability of the event.
- In a deck of cards with 52 cards, the probability of drawing a spade is 1/4, while the probability of drawing a king is 1/13.
