Question

4. Darnell is selecting names from a hat to determine who will choose the family activities for the weekend. The names in the hat include his mother, father, sister, and him. Calculate the probability of each compound event.

Answer 1

wait.... will put it on

Answer 2

Match Term Definition

Answer 3

Hmm well 1 by 1

P(Darnell and sister) with replacement

there are 4 cards....and when being replaced after each time....the probability stays the same....

so

P(darnell) = 1/4
replace
P(sister) = 1/4 still so

1/4 * 1/4 = 1/16


P(Mother and Father) without replacement
P(mother) = 1/4
not replacing so only 3 cards now
P(father) = 1/3

so

1/4 * 1/3 = 1/12

can you continue from here?

Answer 4

i'll try

Answer 5

Well do it along with me

P(Parent and sister) without replacement

P(Parent) how many parent cards are there?

Answer 6

2

Answer 7

Right...so

P(Parent) = 2/4

now without replacing...there are now only 3 cards to choose from

P(sister) how many sister cards are there?

Answer 8

1

Answer 9

Correct again....so

P(sister) now = 1/3

so to find the compound probability you multiply the 2

2/4 * 1/3 = 2/12...simplified down = 1/6 right?

Answer 10

yes

Answer 11

Now....*even though there's only 1 answer left* try that last one

P(Parent and Child) with replacement

Answer 12

ok

Answer 13

when it says with replacement, the child part, what would be that number?

Answer 14

So after the P(Parent) which is 2/4 right?

the card they picked....got put back in...so the total number of cards didn't change...still 4 possible cards....

so P(Child) is.....some number/4

what is some number?

Answer 15

2/4*2/4=4/16
4/16 divide by 4 = 1/4

Answer 16

Am I right?

Answer 17

You are correct! Great job!

Answer 18

thank you trying to finish the last of math.

Answer 19

No problem!