Question

A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets a peach and Beth gets an apple?

a. 15/182
b. 8/27
c. 4/91
d. 15/196

Answer 1

What is the probability that Jonas gets a peach?

Answer 2

I don't know.. I don't get this. but I need it to be done.

Answer 3

how many peaches are there?

Answer 4

5

Answer 5

how many pieces of fruit are there

Answer 6

14

Answer 7

so the the probability that Jonas gets a peach is 5/14

Answer 8

he takes the peach out, and does NOT replace it

so there are 14-1 = 13 pieces of fruit left

Answer 9

Ok and Beth is 3/13?

Answer 10

there are still 3 apples, so the probability of Beth getting an apple is 3/13

Answer 11

yep

Answer 12

multiply the two probabilities

(5/14)*(3/13) = ???

Answer 13

15/182

Answer 14

good

Answer 15

thank you!!

Answer 16

you're welcome

Answer 17

A true-false test has 12 questions. What is the probability of guessing the correct answer to all of the questions?

a. 1/4096
b. 1/144
c. 1/24
d. 1/14

could you help with one more?

Answer 18

There are 2 choices per question (T or F)

Answer 19

does that mean you double 12?

Answer 20

So there are 2^12 = 4,096 ways to answer the test (this is the number of combos of TFTFF...etc etc)

Answer 21

There's only one way to get all 12 questions correct

So that's why the probability is 1/4096

Answer 22

ok

Answer 23

here's a smaller example

say there are 3 questions. There are 3 ways to answer the test and they are

TTT
TTF
TFT
TFF

FTT
FTF
FFT
FFF


So the probability of getting all 3 correct is 1/8

Answer 24

notice how 2^3 = 8

that's not a coincidence

Answer 25

oops meant to say "8 ways" not "3 ways"

Answer 26

Ok, I'm starting to get it

Answer 27

That's good