Two fair die are rolled. What is the probability of one of the dice showing 5 or the sum being at least 8?

- Pulsified333

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- Pulsified333

well I know the sum of 8's probability is 5/36

- Pulsified333

right so wouldn't it be 1/6?

- anonymous

+ the probability of at least 8

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- Pulsified333

so would it be 6/36?

- Pulsified333

you mean 2/36?

- Pulsified333

so the answer would be 7/36?

- anonymous

sorry can you forget about what I just said?

- Pulsified333

yeah

- Pulsified333

why?

- anonymous

for at least one to be a 5 would be 11/36

- anonymous

(for each dice)( 1/6 + 1/6) - 1/36 (because there's a double) = 11/36

- Pulsified333

so the answer is 11/36?

- anonymous

+ at least 8

- Pulsified333

so 11/36+16/36

- anonymous

- the mutual part

- Pulsified333

-1?

- Pulsified333

13/18?

- anonymous

-6/36

- anonymous

21/36

- Pulsified333

why -6/36

- anonymous

because (5,1)(5,2)(5,3)(3,5)(2,5)(1,5) are included in both probabilities.

- Pulsified333

oh let me check

- anonymous

I hope that's right.

- Pulsified333

would it be 7/12? simplified

- anonymous

yes

- Pulsified333

I did it backwards the sum of being at least 8 would be 17/36

- Pulsified333

my bad i didn't see the at least 8

- anonymous

ooh so otherwise would it be right?

- Pulsified333

I think but it would be 22/36= 11/18

- anonymous

ok ok :)

- Pulsified333

it says not correct

- anonymous

:(

- anonymous

isn't at least 8 = 15/36?

- Pulsified333

how?

- Pulsified333

8=5/36, 9=6/36, 10= 3/36, 11=2/36, 12=1/36

- anonymous

9 has 4 combinations

- Pulsified333

your right

- Pulsified333

26/36

- anonymous

15/36 + 11/36 - 6/36 = 20/36

- Pulsified333

5/9?

- anonymous

wait wait...

- Pulsified333

ok

- anonymous

yes I think 5/9.

- Pulsified333

I don't get this it says its wrong

- anonymous

:o is this an online thing?

- Pulsified333

yeah

- anonymous

ok try 26/36 then

- Pulsified333

i only have 2 more attempts

- anonymous

:( I don't get it the events are not mutually excessive so it should be 20/36
but if the test writer is dumb it might be 26/36...

- anonymous

I'm sorry I'm dumb too probably.

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