Question 3 4 pts 1 details a bag of mms has 2 red 5 green 3...

Name: question 3 4 pts 1 details a bag of mms has 2 red 5 green 3 blue and 4 yellow mms suppose you randomly select two mms from the bag one at a time suppose you replace the first mm before selec 21327
Uploaded: 2022-05-05T23:47:32-08:00
Duration: 3 min 9 s
Channel: Jon Southam
Description: question 3 4 pts 1 details a bag of mms has 2 red 5 green 3 blue and 4 yellow mms suppose you randomly select two mms from the bag one at a time suppose you replace the first mm before selec 21327

Question 3 4 pts 1 Details A bag of M&M's has 2 red, 5 green, 3 blue, and 4 yellow M&M's. Suppose you randomly select two M&M's from the bag one at a time. Suppose you replace the first M&M before selecting the second one. Find each probability as a fraction in simplest form. a) the probability both M&Ms are yellow. b) the probability that the first M&M is yellow and the second M&M is red. Suppose you DO NOT replace the first M&M before selecting the second one. Find each probability as a fraction in simplest form. a) the probability both M&Ms are yellow. b) the probability that the first M&M is yellow and the second M&M is red.

Transcript

00:01 All right, nice little statistics probability exercise with m &ms.

00:06 So a bag of m &ms has six red, four green, two blue, three yellows.

00:12 And we're randomly selecting two m &ms from a bag, one at a time without replacing.

00:19 We have a is the first, m &m is yellow, b is the second one is red.

00:24 Find the probabilities.

00:25 All right, so the probability of a, well, that means the probability that first is yellow.

00:31 Well, how many yellows are there? three.

00:34 How many are there total 15 15 and we're supposed to write them as fractions that's good there you go probability of b given a so this means that a happens and then you draw a red so let's see let's think through this after we draw the first one so a has happened so that's what means a's already happened this occurred so how many are left there are 14 and then how many reds are there? there's six.

01:17 So this is a, there's b, and let's do c.

01:21 We have the probability of a and b.

01:24 And you might see this is this little, this little upside down big u, a intersect b.

01:30 That means a and b.

01:32 So that means these two things have to happen.

01:35 Well, for those two to happen, basically we have these probabilities because this is the probability of a, is that first one is yellow.

01:46 Probability of b given a is the probability that second one's red.

01:51 So we want both of them to happen.

01:54 So for that, what we do is we multiply those together...