anonymous
  • anonymous
a dice is thrown four times. what is the probability that it we will get the same number at last twice???
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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nowhereman
  • nowhereman
Count the possibilities, to get those results, without counting anything more than once. e.g. there are 6 results where all three are the same. Then divide that number by the number of all possible outcomes (which is 6^3)
anonymous
  • anonymous
I do not understand ur reasoning?
nowhereman
  • nowhereman
It is an Laplace experiment. So in order to get the probability you have to divide the number of positive outcomes by the number of all outcomes.

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anonymous
  • anonymous
but when you throw the dice once, you have the probability 1/6 that it is 5 for example but here the dice is thrown 4 times?
anonymous
  • anonymous
do i have to multiply the probabilities?
anonymous
  • anonymous
or is it conditional probability p(A/b)
nowhereman
  • nowhereman
no, you should take every quadruple-combination as a single outcome.
anonymous
  • anonymous
so in total there are 6^4 results I think?
anonymous
  • anonymous
now how do i find the rest?
nowhereman
  • nowhereman
yes, true
nowhereman
  • nowhereman
There are certainly several ways to count. I would count the disjount situations 1 Pair; 2 Pairs and 1 Tripel seperately. Use binomial to see which of the dices are equal and then multiply with the possible count of numbers.
anonymous
  • anonymous
is it 66/6^4
anonymous
  • anonymous
yes, thats what i did and i think there were 66?
anonymous
  • anonymous
toooooo complicated, nyway thank you
nowhereman
  • nowhereman
Well I get 6*6*5*4+4*6*5+6*6*5 = 1020 which makes about .787
anonymous
  • anonymous
not sure......
nowhereman
  • nowhereman
ah ok, I really made it too complicated you should look at the complementary event: "all 4 numbers are different"
nowhereman
  • nowhereman
there you can count easily 6*5*4*3 = 360
anonymous
  • anonymous
ah, got it now, thats easier
anonymous
  • anonymous
so the answer must b 6*5*4/6^4
anonymous
  • anonymous
now yes! thanx

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