there are at most eight marbles in a bag, you pick out two red marbles and are told the probability of picking out two red marbles is 50%. How many marbles are there and exactly how many marbles are red?
let there are x red marbles and total y are total marbles
here x<y ;x>=2 and y<=8
therefore probability of picking out two red marbles =(x/y)*(x-1)/(y-1) =0.5
x2-x =0.5*(y-y2)
checking above for values of 3<=y<=8
total number of marbles =4
and total number of red marbles =3
there are at most eight marbles in a bag, you pick out two red marbles and...
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(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...