EXAMPLE 1
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EXAMPLE 1 Finding Probabilities Gifts You and seven friends contribute money for a gift. Everyone’s name is put in a hat. The person whose name is chosen at random picks the gift. What is the probability that your name is chose b. What is the probability that your name is not chosen?
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You and seven friends contribute money for a gift. Everyone’s name is put in a hat. The person whose name is chosen at random picks the gift. EXAMPLE 1. Finding Probabilities. Gifts. a. What is the probability that your name is chosen?. - PowerPoint PPT Presentation
Transcript of EXAMPLE 1
EXAMPLE 1 Finding Probabilities
Gifts
You and seven friends contribute money for a gift. Everyone’s name is put in a hat. The person whose name is chosen at random picks the gift.
a. What is the probability that your name is chosen?
b. What is the probability that your name is not chosen?
EXAMPLE 1
SOLUTION
a. P(your name is chosen) =
Number of favorable outcomesNumber of possible outcomes
=18
b. P(your name is not chosen) = 1 – P(your name is
chosen).= 1 – 18
= 78
Finding Probabilities
EXAMPLE 2 Finding Odds
Vacation Survey
You do a survey asking your class to rank three vacation choices. Results for “the beach” are shown at the right. What are the odds in favor of a randomly chosen student from your class ranking a beach vacation first?
EXAMPLE 2
The beach was ranked first by 6 students, so thereare 6 favorable outcomes. It was ranked second by 12 students, and ranked third by 9 students, so thereare 12 + 9 = 21 unfavorable outcomes.
Odds in favor Number of unfavorable outcomes
Number of favorable outcomes=
= 621
= 27
SOLUTION
Finding Odds
EXAMPLE 2
ANSWER
The odds in favor of a randomly chosen student ranking a beach vacation first are 2 to 7.
Finding Odds
GUIDED PRACTICE for Examples 1 and 2
You are given the probability that event A will occur. Find the probability that event A will not occur.
1. P(A) =34
ANSWER
14
GUIDED PRACTICE for Examples 1 and 2
You are given the probability that event A will occur. Find the probability that event A will not occur.
2. P(A) = 0.45
0.55
ANSWER
GUIDED PRACTICE for Examples 1 and 2
You are given the probability that event A will occur. Find the probability that event A will not occur.
3. P(A) = 32%
ANSWER
= 68%
GUIDED PRACTICE for Examples 1 and 2
You are given the probability that event A will occur. Find the probability that event A will not occur.
1074. P(A) =
= 310
ANSWER
GUIDED PRACTICE for Examples 1 and 2
The 11 letters in the word MISSISSIPPI are each written on pieces of paper and randomly chosen from a bag. What is the probability of drawing an S from the bag? What is the probability of not drawing an S?
5.
711
=
The probability of not drawing an S
= 411
The probability of drawing an S from the bag
ANSWER
GUIDED PRACTICE for Examples 1 and 2
You choose a card at random from a set of cards numbered 1 to 24. Find the odds in favor of the event.
6. You choose a 10.
=123
ANSWER
GUIDED PRACTICE for Examples 1 and 2
7. You choose an odd number.
= 1
ANSWER
GUIDED PRACTICE for Examples 1 and 2
8. You choose an even number greater than 8.
12
=
ANSWER
