Question

How do you know when a problem have independent, dependent, or mutually exclusive events?

Answer 1

https://www.khanacademy.org/math/precalculus/prob_comb/dependent_events_precalc/v/independent-events-1

Answer 2

Two events A and B are independent if

P(A and B) = P(A) * P(B)

they dependent if

P(A and B) = P(A) * P(B|A)

Answer 3

Two events A and B are mutually exclusive if

P(A and B) = 0

in other words, this says that it is impossible for the 2 events to occur at the same time

Answer 4

I understand that but look for example

Answer 5

Ask yourself this: if one name is picked out, is it placed back into the hat?

Answer 6

?

Answer 7

Where's your question?

Answer 8

This

Answer 9

I meant the question you had about what I posted

Answer 10

5 people in all and 2 girls

Answer 11

i guess 2/5

Answer 12

I got that

Answer 13

good

Answer 14

is that the answer

Answer 15

no it's not the answer

Answer 16

what is the probability of just picking lisa?

Answer 17

1/5

Answer 18

yes

Answer 19

it is unlikly because more boys then girls so it is 1/5

Answer 20

now after you pick lisa, you can't pick her again

so the 5 names to pick from reduces to 4

after Lisa is picked (and her name taken out of the hat), what is the probability of picking Chrissie?

Answer 21

But it says what is the probability of Lisa and another girl

Answer 22

1/4 i guess

Answer 23

yes we're focusing on each one at a time at first

Answer 24

OK

Answer 25

1/5

Answer 26

nope, remember that lisa's name was taken out to make sure we didn't pick her again

Answer 27

1/4

Answer 28

yep

Answer 29

you will then multiply 1/5 and 1/4 to get 1/20

Answer 30

Oh

Answer 31

since I'm using the rule

P(A and B) = P(A) * P(B|A)

which means the events are dependent

Answer 32

OK thx

Answer 33

the probability of picking Chrissie depends on the outcome of picking Lisa