Prob 2 Bernoulli Notes

TENNESSEE = 3780

VERMONT = 5040

She is incorrect

39916800

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

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

4

II

-5 +5i

13

-i

IV

120o

{-2, 6}

9

3

aa + 1

18o

4

7

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

Prob 2 Bernoulli Notes