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4.1 Probability Intro.notebook
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October 05, 2016
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4.1 Probability IntroObjectives:TSW: 1. Identify possible outcomes. 2. Identify the complement of an event. 3. Use correct notation. 4. Describe events and sample space.
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Probability DefinitionsOutcomes The possible results of the experiment
Sample space set of all possible outcomes
Event Any such subset (part of a set) of the sample space Notation: P(E)
Complement All outcomes that are NOT the event. Notation: P'(E)
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The probability of an event E is given by:
P(E)= number of favorable outcomestotal number of outcomes
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The sample space for the experiment of rolling a dice is:
Ex: P(4)=
Rolling a 4 is an event, what is the probability of this event?
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Flipping a CupFlipping a CupA cup is flipped 150 times. It lands on its side 84 times, on its bottom 6 times, and on its top 10 times.
a) P(top)
b) P(side)
c) P(bottom)
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You are given a bag that contains: 6 green, 4 blue, and 8 yellow marbles.
a) What is the probability of drawing a yellow marble?
P(Yellow) =
b) What is the complement of drawing a yellow marble?
P'(Yellow) =
4.1 Probability Intro.notebook
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October 05, 2016
Jul 88:25 PM
The table shows the number of ways to make each of the following poker hands.
Find:
a) P(Full House)
b) P(Straight)
c) P(One Pair)
d) P(Straight Flush with hearts only)
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200 tickets were sold for a drawing to win a new television. If Matt purchased 10 of the tickets, what are the odds in favor of Matt winning the television?
Odds in favor: # of favorable outcomes # of unfavorable outcomes
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16,500 tickets were sold for a Phoenix Suns game. If the Jones family purchased 2 seats to the game what are their odds against of winning the pizza?
Odds in favor: # of unfavorable outcomes # of favorable outcomes
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The sample space of flipping a fair coin is: S = {H,T}
If you flip a coin 3 times the sample space will change... Create a tree diagram to show how.
1st Flip
2nd Flip
3rd Flip
H TSample Space:
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Given the sample space for flipping 3 coins...
a) What is the probability of flipping at least two tails?
P(at least two tails)
b) What is the probability of flipping at least 1 head?
P(at least one head)
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The sample space of spinning a spinner is S ={Blue, Green}. Create a tree diagram to show the sample space for 3 spins.
Sample Space: _________________________________
______________________________________________
4.1 Probability Intro.notebook
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October 05, 2016
Jul 88:25 PM
What is the probability of:
a) 3 blues in a row
b) At least one blue
c) At least 2 greens
d) Getting blue, green and then blue?
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Assignment
4.1 Worksheet