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Prob 2 Bernoulli Notes
BERNOULLI EXPERIMENTSQ: 1. What is a Bernoulli experiment and when do I use it?
2. How do I calculate probability using Bernoulli experiments?
Recall:
*Important*:
Prob 2 Bernoulli Notes
Ex1: If the probability of Rick getting an A on a test is 2/3, find the probability that
he earns an A on 3 out of 4 tests.
Ex2: When Nick plays cards with Lisa, the probability that Nick will win is 6/10. If
they play three games of cards and there are no ties, what is the probability that
Lisa will win all three games?
Ex3: If the probability of hitting a target is 0.75, then what is the probability of
hitting the target once in four tries?
Prob 2 Bernoulli Notes
“AT LEAST”: (ex: In a class of 15, 12 will pass.)
How many could pass?
“AT MOST”: (ex: In a carton of eggs, 3 are broken.)
How many could be broken?
Prob 2 Bernoulli Notes
-2948
1) x - 2y
2) (x + y)
1
2
13
1 ∆
-3
109o, 251o, 60o, 300o
58.5
1.4
sin x cos xsin xcos x
sin x cos x
sin2 x + cos2 x
sin xcos x1
2
(2)
(2)
sin 2x
+ = 2 csc 2x
= 2 csc 2x
= 2 csc 2x
= 2 csc 2x
2 csc 2x = 2 csc 2x
Prob 2 Bernoulli Notes
Soo…
In each game of a baseball series, a team’s probability of winning is ¼ and its
probability of losing is ¾. What is the team’s probability of winning 2 out
of 3 games?
Three fair coins are tossed. What is the probability of obtaining two tails?
Ex3: A fair die is rolled 5 times. What is the probability of it landing on an even
number 1 time?
Ex4: A certain part of the country has a 50% chance of rain each day.
a. What is the probability of having rain on any given day?
b. Find the probability of having:
5 rainy days in one week
2 days of rain in one week
Homework: Worksheet