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Mathematics 10 Online
OpenStudy (rock_mit182):

Explain please ! Two dice are tossed, one after the other, in how many different ways can they fall ? list the number of different ways the sum can equal a) 3 b) 11

OpenStudy (anonymous):

eh... there's more possibilities than 11...

OpenStudy (anonymous):

think about it, 1,1 1,2 1,3 1,4 1,5 1,6 etc...

OpenStudy (anonymous):

wait

OpenStudy (rock_mit182):

well there is two question the first is a permutation, but i don't know how to aproach

OpenStudy (anonymous):

Oh right, I thought that was a multiple choice...

OpenStudy (anonymous):

I thought that too... So what is this asking then? Could you describe it more?

OpenStudy (anonymous):

nick, he's asking how can the numbers add up to 3 and 11 in different cases.

OpenStudy (anonymous):

oh, so 1-2, 2-1, 5-6, etc...?

OpenStudy (rock_mit182):

yes that is the second one

OpenStudy (anonymous):

My permutations suck.... I forgot atleast half of what I learned for permutation.

OpenStudy (rock_mit182):

i think the first one is P = 12!/(12-2)! AM I RIGHT ?

OpenStudy (anonymous):

sorry can't help you with that... I'm in trigonometry right now and I completely forgot about permutations I'm so sorry

OpenStudy (rock_mit182):

so you are good in probability ?

OpenStudy (rock_mit182):

well thanks anyway, nicklife2

OpenStudy (anonymous):

probability- 2-1, 1-2, about thats it for a) if that's what you're asking?

OpenStudy (rock_mit182):

Slot machine A standard slot machine contains three reels, and each reel contains 20 symbols. If the first reel has five bells, the middle reel four bells, and the last reel two bells, find the probability of obtaining three bells in a row.

OpenStudy (rock_mit182):

this one is of probability

OpenStudy (rock_mit182):

someone help !

OpenStudy (cwrw238):

a) possiblities to get 3 are 1 and 2 or 2 and 1

OpenStudy (rock_mit182):

is a question of permutation, how do you get there ? can you show me ?

OpenStudy (rock_mit182):

are the different ways can they fall,expressed by : P = 12!/(12-2)! ?

OpenStudy (rock_mit182):

i'm stuck :/

OpenStudy (cwrw238):

the formula you gave is the number of permutations of 2 in 12 which works out to 12*11 = 132

OpenStudy (rock_mit182):

1. Two dice are tossed, one after the other, in how many different ways can they fall ? (first question)

OpenStudy (rock_mit182):

2. list the number of different ways the sum can equal (second question) already solved a) 3 b) 11

OpenStudy (cwrw238):

yes - i'm afraid probability is not my strong point - i'll have to think about it….

OpenStudy (rock_mit182):

ok

OpenStudy (rock_mit182):

Slot machine A standard slot machine contains three reels, and each reel contains 20 symbols. If the first reel has five bells, the middle reel four bells, and the last reel two bells, find the probability of obtaining three bells in a row.( I have to solve 1. and 3.)

OpenStudy (rock_mit182):

3. \[P(A) = (E _{_{1}})U(E _{2})U _{?}(E_{3})\]

OpenStudy (cwrw238):

the answer to the first one is 6*6 = 36 because your can get 1&1, 1&2, 1&3 1*3 etc - 6 ways then 2&1, 2&2 etc so that total of 36

OpenStudy (rock_mit182):

E1 = 5/20 + 4/20 + 2/20

OpenStudy (rock_mit182):

I MEAN P(A) = the expression above

OpenStudy (rock_mit182):

althought I think is an intersection

OpenStudy (cwrw238):

i think those probabilities should be multiplied as each event \(result in each reel) is independent so its 5/20 * 4/20 * 2/20

OpenStudy (cwrw238):

should the symbol be intersect not U? i.e. upside down U

OpenStudy (rock_mit182):

That make sense, I'm no so good in prob

OpenStudy (cwrw238):

yea - if we added those numbers far too many people would win!!!

OpenStudy (rock_mit182):

so the expression for the first one would be: \[P ^{r}\]

OpenStudy (rock_mit182):

where P= is the number of possibilities and r= # of dice

OpenStudy (cwrw238):

maybe - i'm not too sure of all this notation in probability

OpenStudy (cwrw238):

1 a is 1.2 and 2,1 1 b is 5,6 and 6,5 if i understand the question correctly

OpenStudy (rock_mit182):

P(A) = \[E _{1} *E_{_{2}} *E_{3}\]

OpenStudy (cwrw238):

yes

OpenStudy (rock_mit182):

Hey man thanks a lot !

OpenStudy (cwrw238):

yw - (i'm a woman though , but thats ok)

OpenStudy (rock_mit182):

i have a test of this but i think i struggle too much

OpenStudy (rock_mit182):

oh I'm sorry i didn't meet (until now) a woman so good in math

OpenStudy (rock_mit182):

;) thanks again

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