An athlete enters three track and field events. She has a 0.7 probability of winning the 100–meter dash, a 0.8 probability of winning the low hurdles, and a 0.75 probability of winning the long jump. Round your answers to three decimal places. a. What is the probability that the athlete will win the hurdles and the long jump? The probability of winning the hurdles and the long jump is b. What is the probability that she will win all three events? The probability of winning all three events is c. What is the probability that she will win at least one of the three events? The probability of winning at least one event is
An athlete enters three track and field events. She has a 0.7 probability of winning the 100–meter dash, a 0.8 probability of winning the low hurdles, and a 0.75 probability of winning the long jump. Round your answers to three decimal places. a. What is the probability that the athlete will win the hurdles and the long jump? The probability of winning the hurdles and the long jump is b. What is the probability that she will win all three events? The probability of winning all three events is c. What is the probability that she will win at least one of the three events? The probability of winning at least one event is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:An athlete enters three track and field events. She has a 0.7 probability of winning the 100–meter
dash, a 0.8 probability of winning the low hurdles, and a 0.75 probability of winning the long jump.
Round your answers to three decimal places.
a. What is the probability that the athlete will win the hurdles and the long jump?
The probability of winning the hurdles and the long jump is |
b. What is the probability that she will win all three events?
The probability of winning all three events is
c. What is the probability that she will win at least one of the three events?
The probability of winning at least one event is
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