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The following are examples of events. 1) A coin toss. Possible Outcomes of an Event The following are possible outcomes of events. 1) A coin toss has two possible outcomes. The outcomes are "heads"
and "tails".
Probability of an Outcome Example: Suppose there are 10 balls in a bucket numbered as follows: 1, 1, 2, 3, 4, 4, 4, 5, 6, and 6. A single ball is randomly chosen from the bucket. What is the probability of drawing a ball numbered 1? There are 2 ways to draw a 1, since there are two balls numbered 1. The total possible number of outcomes is 10, since there are 10 balls. The probability of drawing a 1 is the ratio 2/10 = 1/5. Example: Suppose there are 10 balls in a bucket numbered as follows: 1, 1, 2, 3, 4, 4, 4, 5, 6, and 6. A single ball is randomly chosen from the bucket. What is the probability of drawing a ball with a number greater than 4? There are 3 ways this may happen, since 3 of the balls are numbered greater than 4. The total possible number of outcomes is 10, since there are 10 balls. The probability of drawing a number greater than 4 is the ratio 3/10. Since this ratio is larger than the one in the previous example, we say that this event has a greater chance of occurring than drawing a 1. Example: Suppose there are 10 balls in a bucket numbered as follows: 1, 1, 2, 3, 4, 4, 4, 5, 6, and 6. A single ball is randomly chosen from the bucket. What is the probability of drawing a ball with a number greater than 6? Since none of the balls are numbered greater than 6, this can occur in 0 ways. The total possible number of outcomes is 10, since there are 10 balls. The probability of drawing a number greater than 6 is the ratio 0/10 = 0. Example: Suppose there are 10 balls in a bucket numbered as follows: 1, 1, 2,
3, 4, 4, 4, 5, 6, and 6. A single ball is randomly chosen from the bucket.
What is the probability of drawing a ball with a number less than 7? Since
all of the balls are numbered greater than 7, this can occur in 10 ways.
The total possible number of outcomes is 10, since there are 10 balls.
The probability of drawing a number less than 7 is the ratio 10/10 = 1. Example: Suppose a card is drawn at random from a regular deck of 52 cards. What is the probability that the card is an ace? There are 4 different ways that the card can be an ace, since 4 of the 52 cards are aces. There are 52 different total outcomes, one for each card in the deck. The probability of drawing an ace is the ratio 4/52 = 1/13. Example: Suppose a regular dice is rolled. What is the probability of getting a 3 or a 6? There are a total of 6 possible outcomes. Rolling a 3 or a 6 are two of them, so the probability is the ratio of 2/6 = 1/3. 



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