geographyishard
a laundry bag contains 4 green socks, 6 red socks,and 2 blue socks. Inez reaches into the bag and randomly pull out 2 socks, one right after the other. what is the probability that she pulls out a green sock and then a blue sock?
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amistre64
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12 socks total.... theres a 4 in 12 chances of picking a green sock.... or is that 1 in 3?
ashwinram
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4 in 12 chance of green sock for the first pick
ashwinram
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if you get green, now 2 in 11 chance of blue sock for second pick
amistre64
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2 in 11 chance for the next one being blue
geographyishard
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in my multiple hoisce these are the chouces
amistre64
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its like reading a stroke :)
geographyishard
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a. 2/11
b.6/11
c.2/33
d.8/33
geographyishard
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* in my multiple choices theses are the choices
ashwinram
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first action: 4/12
AND second action: 2/11
so combined probability 4/12 * 2/11
ashwinram
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AND means multiply for probabilities
geographyishard
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but how do i multiply it
ashwinram
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do you know how to multiple fractions?
geographyishard
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no not really
ashwinram
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multiply both numerators with each other
ashwinram
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and multiply both denominators with each other
geographyishard
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ok
geographyishard
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i got 8/132
ashwinram
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\[(4/12) * (3/11) = (4*3) / (12*11)\]
ashwinram
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you can simplify before or after multiplying
geographyishard
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i got it thanks i got 2/33
ashwinram
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before multiplying: simplify 4/12 which gives you 1/3. Now multiply 1/3 * 2/11 which is (1*2) / (3*11) = 2/33
geographyishard
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thanks for your help
ashwinram
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or after multiplying: first multiply and get (4*2) / (12*11) = 8/132 and now simplify to 2/33
ashwinram
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it's usually easier to simplify first
ashwinram
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you're welcome :) glad i could help