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Your teacher will give your group a bag containing slips of paper with names on them. It is important not to open the bag to reveal all of the slips at any time. Record your group's data in writing.
Follow these steps to collect data about the names in the bag:
| Clare | Mai | Priya | Elena | Jada | Han | Andre | Diego | Noah |
|---|---|---|---|---|---|---|---|---|
Use the data your group collected in the Warm-up to answer the questions.
| name | Clare | Mai | Priya | Elena | Jada | Han | Andre | Diego | Noah |
|---|---|---|---|---|---|---|---|---|---|
| probability |
Take turns with your partner coming up with words that have the probabilities given when selecting a letter at random from the word. Each person should try to come up with one word for each situation.
Some probabilities are estimated by doing an experiment, or sometimes by simulating the experiment many times and collecting data about how often outcomes come up. For example, a radio show holds a contest in which callers are entered for a chance to win a ticket to a concert in town. The probability of each caller winning is estimated by considering previous similar contests and comparing the number of callers to the number of ticket winners. If a previous contest had 327 callers and 5 ticket winners, then the probability of winning a ticket can be estimated by:
or
This means that each caller has about a 1.5% chance of winning a ticket to the concert.
Other probabilities can be determined by recognizing the expected relative likelihood of outcomes among all possible outcomes. For example, we know that the probability of rolling a 2 on a standard number cube is because there are 6 equally likely outcomes in the sample space for each roll, and the event of rolling a 2 is one of those outcomes. This can be written as . Similarly, or because there are 2 outcomes in the event.