Question

Find the probability of rolling a sum of five with a single toss of two fair six-sided dice.

Answer 1

@Hero

Answer 2

Okay...

Answer 3

??

Answer 4

is it 1/6

Answer 5

what so i do count all the dice that have 6

Answer 6

There are 36 possible pairs, and of those, there are four pairs that sum to five

Answer 7

So the probability of rolling a sum of five with two six-sided dice is

\[\frac{4}{36} = \frac{1}{9}\]

Answer 8

so its1/9
what about this one

Find the probability of getting one head and two tails on a toss of three fair coins

Answer 9

The same logic applies. Find the total possible pairs, then find how many of those have one head and two tails.

Answer 10

It's only three coins so you can probably do it with pencil and paper.

Answer 11

here's how I figured out the previous one:

Notice how I circled those that add to five.

Answer 12

would it be 1/8

Answer 13

HHH
HHT
HTH
`HTT`
THH
`THT`
`TTH`
TTT

Answer 14

There are eight possible pairs, and of those, three of them have meet our requirements.

Answer 15

so 1/3 would be the correct answer

Answer 16

\[\text{probability} = \frac{\text{no of occurrences}}{\text{total possible outcomes}}\]

Answer 17

There are eight possible outcomes, of those only three of the expected event occurs.

Answer 18

ohh wow its 3/8 lol can you help me on this one too


If we roll two dice 180 times, how many times can we expect the dice to show a sum of five?
5
20
45
36

Answer 19

I can only help you so much before you'd be expected to start figuring these out on your own.

Answer 20

is it the same for this one the way you did it before

Answer 21

Here, solve this proportion:

\[\frac{4}{36} = \frac{x}{180}|\]


It's not the same approach.

Answer 22

x=20

Answer 23

Good

Answer 24

ok i think i get it now :)

Answer 25

You'd have to prove to me that you get any of this.