probability question

[lilietta2000]

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Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. If three pieces of paper are drawn at random from the hat one at a time without being returned to the hat, what is the probability that all three will be even numbers?
😕

 

[rcwha]

I'm not usually good with these, but think i can do this one....

ten numbers in the hat with 5 of them being even....so the chance of you picking an even number the first time would be 5/10...

now we have 9 numbers in the hat b/c we're not returning that number we just pull.... we assume that we pulled an even number out b/c we need to pull 3 consecutive even numbers..

2nd pull... the chance of pulling an even number would be 4/9
3rd pull ....3/8

you multiply those 3 numbers 5/10 * 4/9 * 3/8= 1/8 Is that right?

 

[rcwha]

I'm not usually good with these, but think i can do this one....

ten numbers in the hat with 5 of them being even....so the chance of you picking an even number the first time would be 5/10...

now we have 9 numbers in the hat b/c we're not returning that number we just pull.... we assume that we pulled an even number out b/c we need to pull 3 consecutive even numbers..

2nd pull... the chance of pulling an even number would be 4/9
3rd pull ....3/8

you multiply those 3 numbers 5/10 * 4/9 * 3/8= 1/8 Is that right?

 

[oral09]

I'm not usually good with these, but think i can do this one....

ten numbers in the hat with 5 of them being even....so the chance of you picking an even number the first time would be 5/10...

now we have 9 numbers in the hat b/c we're not returning that number we just pull.... we assume that we pulled an even number out b/c we need to pull 3 consecutive even numbers..

2nd pull... the chance of pulling an even number would be 4/9
3rd pull ....3/8

you multiply those 3 numbers 5/10 * 4/9 * 3/8= 1/8 Is that right?

5/10 * 4/9 * 3/8 = answer... I agree

 

[harrygt]

Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. If three pieces of paper are drawn at random from the hat one at a time without being returned to the hat, what is the probability that all three will be even numbers?
😕

The previous answers are correct. Dorosteh!

 

[lilietta2000]

I keep getting 1/12

 

[harrygt]

I keep getting 1/12

How do you get the 1/12?

 

[Streetwolf]

How do you get the 1/12?

He/she multiplies 5/10 * 4/9 * 3/8 correctly I'd imagine 🙂.

 

[harrygt]

I keep getting 1/12

Oh yea . I don't know how that guy got to 1/8. You can get the answer by 5/10 * 4/9 * 3/8 = 1/12

 

[lilietta2000]

Oh yea . I don't know how that guy got to 1/8. You can get the answer by 5/10 * 4/9 * 3/8 = 1/12

OK, I feel better now! Dorosteh😉

 

[rcwha]

my fault, it's 1/12...I dk where i messed up..Prlly just a mental error