mathmath333
  • mathmath333
Probablity Question
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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mathmath333
  • mathmath333
A die is thrown three times. Events A and B are defined as below: A : 4 on the third throw B : 6 on the first and 5 on the second throw Find the probability of A given that B has already occurred
ParthKohli
  • ParthKohli
Don't you think that the first, second, and the third throws are independent of each other?
ParthKohli
  • ParthKohli
If we got six on the first throw, and five on the second, how does that affect the probability of four occurring on the third throw?

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More answers

mathmath333
  • mathmath333
1,2, and 3 are different
mathmath333
  • mathmath333
need to use conditional probablity , i dont know how they affect
ParthKohli
  • ParthKohli
They don't. The probability is 1/6.
mathmath333
  • mathmath333
1/6 for which ?
ParthKohli
  • ParthKohli
We're given that B has already occurred. But who cares about what has occurred? We just want to see what the probability of getting a 4 is on the third throw. That is 1/6.
mathmath333
  • mathmath333
but i need to solve this by conditional probablity
mathmath333
  • mathmath333
if 4 had occured in 1st or 2nd place then
mathmath333
  • mathmath333
will it would have been 1/4 as usual
ParthKohli
  • ParthKohli
OK, the probability is either 1/6 * 1/6 * 1/6 or just 1/6 depending on the use of "given that B has already occurred".
mathmath333
  • mathmath333
lol m getting confused
anonymous
  • anonymous
what PK said is correct but if you want to do it conditional probability then here it is P(A/B) = P(A (intersection) B ) / P(B) P(A (intersection) B ) is the event where all the 3 throws have some specified values P(B) is the event where only 2 are specified I hope you can calculate both values
thomas5267
  • thomas5267
It is 1/6 as A and B are independent. No matter B happened or not, the probability of A happening is the same. Past results of die throws does not affect the future results of die throws. Basically it is what ParthKohli is saying.

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