00:02
In the asked question, we have a jar that contains 30 red marbles, 30 red, 12 yellow, 8 green, and finally 5 blue marbles.
00:18
5 blue.
00:19
For part a, it's required to find the probability of green.
00:24
The probability of green.
00:27
Which means if we want to select one marble out of that jar, what is the probability to get this marble green? it is the total number of green marbles in the jar which is 8 divided by the total number of bubbles in the jar which is 30 plus 12 plus 8 which is 50 plus 5 which is 55 then the answer is 8 divided by 55 this is for part a for part we draw and replace marbles three times we take marble and then get it back here get another one get it back here get another one and finally we put it here it's required to find the probability that the third marble the third marble is the first red marble to be the first red this means that the first draw was not red not red and the second draw was not red and the second draw was not red and the third row was red.
01:49
This was not red, not red, but this was red.
01:53
We can consider taking the rows as three different experiments.
01:58
The first one here, the second one here, and each experiment is independent on the other.
02:06
Then this probability is simply, the probability of not red, multiplied by the probability of net red, multiplied by the probability of red, multiplied by the the probability of not red here and not red here is the same because we draw with replacement.
02:27
Then it's going to be the probability of not red squared...