Sample Spaces and Probability

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Presentation transcript:

Sample Spaces and Probability CH 10.1 PPT Sample Spaces and Probability

Ask PT questions while I check it off, then start the Warm Up Ask PT questions while I check it off, then start the Warm Up! Exploration 10.1 pg 283 in SJ

CH 10.1: What is probability? A probability experiment is an action, or trial, that has varying results. Outcomes are the possible results of a probability experiment. For instance, when you roll a six-sided die, there are 6 possible outcomes: 1, 2, 3, 4, 5, or 6. An event is a collection of one or more outcomes, such as rolling an odd number. A sample space is the set of all possible outcomes

Step 1: Find the outcomes in the sample space. EXAMPLE 2a: A student taking a quiz randomly guesses the answers to four true-false questions. What is the probability of the student guessing exactly two correct answers? Step 1: Find the outcomes in the sample space. Let C = a correct answer and I = an incorrect answer Step 2: Identify the favorable outcomes Step 3: Determine theoretical probability 6/16 = 3/8 The probability that the coin lands on heads exactly three times is 1 / 4 , or 25%.

You Try! A coin is flipped four times. What is the probability that it lands on heads exactly three times? # OF HEADS 1 2 3 4 HHHH HHTH HTHH THHH HTTH THTH TTHH TTTH HHHT HHTT HTHT THHT HTTT THTT TTHT TTTT 4/16 = ¼ or .25%

In the United States, a survey of 2184 adults ages 18 and over found that 1328 of them have at least one pet. The types of pets these adults have are shown in the figure. What is the probability that a pet-owning adult chosen at random has a dog?

Pg 286