Please help?
1 Answer
- Independent,
#1/108# ; 2. Dependent,#7/153#
Explanation:
1) We pick with replacement, which means the first draw has no effect on the second draw, therefore they are independent.
There are 18 marbles in total, three of which are red. On the first draw, we pick a red marble:
On the second draw, we pick the same exact marble. Since we are now looking for one specific marble, the probability of picking it is:
And so the probability of drawing a red marble and then drawing it again is:
2) We choose without replacement, meaning the first draw effects the second. The second draw is therefore dependent on the results of the first one.
In the first draw, there are 7 yellow marbles out of 18 total, giving a probability of:
In the second draw, there are now 17 marbles in total and 2 are blue. Therefore the probability of drawing a blue is:
The probability of drawing a yellow followed by a blue is therefore:
