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A four digit number ( with no repetitions) is to be formed from the set of number ( 0,1,2,3,4,5,6,7). Find the probability that the number :
a) is even
 one year ago
 one year ago
A four digit number ( with no repetitions) is to be formed from the set of number ( 0,1,2,3,4,5,6,7). Find the probability that the number : a) is even
 one year ago
 one year ago

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ParthKohliBest ResponseYou've already chosen the best response.0
You first find the number of fourdigit numbers that may be formed from the above set.
 one year ago

telliott99Best ResponseYou've already chosen the best response.0
Think of it this way, pick the numbers from right to left, least significant first.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Can you do that? \[8P4 \] But there is something—we can't place a zero.
 one year ago

powerangers69Best ResponseYou've already chosen the best response.0
i did 6x6x5x4  7x7x6x5 ?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Let's think of slots. _ _ _ _ Four slots. We have 7 choices for the first(there are eight numbers in the set, but we can't place a zero). 7 for the second too(we have a zero with us the second time). 6 for the third. (We already have two numbers filled out of eight). 5 for the fourth. (We have three filled).
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
We multiply \(7 \times 7 \times 6 \times 5 \Longrightarrow 49 \times 30 \)
 one year ago

powerangers69Best ResponseYou've already chosen the best response.0
yes then? number of even numbers = 6x6x5x4 i that correct
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
First find the number of four digit numbers you could make, then divide that by 2.
 one year ago

powerangers69Best ResponseYou've already chosen the best response.0
um answer is not 1/2 though
 one year ago

mihaiBest ResponseYou've already chosen the best response.0
every number that ends with a 0,2,4 and 6 is an even number, so if 4 out of 8 digits give you an even number wouldn't that be 50/50?
 one year ago

telliott99Best ResponseYou've already chosen the best response.0
@ParthKohli see my post above. Make sense?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Yup! That's correct!
 one year ago

powerangers69Best ResponseYou've already chosen the best response.0
@ParthKohli answer is given as 780/1470 not 735/1470?
 one year ago
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