Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
1. Sample Spaces and Probability
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Exercise 22 Page 674

B, A, C, D

Practice makes perfect

We are given a table for a four-day forecast.

Four Day Forecast
Friday Saturday Sunday Monday
Sunny Partly cloudy Drizzle Thunderstorm
Chance of Rain

5 %

Chance of Rain

30 %

Chance of Rain

80 %

Chance of Rain

90 %

Moreover, we are given four events.

lc A. It rains on Sunday. B. It does not rain on Saturday. C. It rains on Monday. D. It does not rain on Friday. We will order these events from least likely to most likely. Notice that for each day the table has the percentage of probability of rain. Therefore, if we want to find the probability that it does not rain on any day, we need to find the probability of the complement of the event by subtracting the given probability from 100 %. Now, let's find the probabilities of given events.

Event Probability
A It rains on Sunday. 80 %
B It does not rain on Saturday. 100 %- 30 %= 70 %
C It rains on Monday. 90 %
D It does not rain on Friday. 100 %- 5 %= 95 %

When we compare the probabilities, the least likely event is option B and the most likely event is option D. From here we can order the events from least likely to most likely. B,A,C,D