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Okay sy mash bumpers Next up a bag contains twelve

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grape candy seven applicant he's ten strawberry candies and eleven

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lemon candies Nicky takes one candy from the bag and

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then a second what's the probability that she withdraws both

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an apple and a lemon candy in either order No

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okay nikki could either taken apple candy first and a

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lemon candy second or a lemon candy first an apple

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candy second right Either way probability and fruit candy make

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a very fun paring right before nikki reaches into the

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bag There are a total of twelve plus seven plus

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ten plus eleven forty candies in the bag The probability

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of taking an apple candy first is seven out of

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forty because well seven out of the forty candies in

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the bag or apple flavored Now there are only thirty

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nine candies left in the bag so the probability gets

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all wonky here Probability of taking one of the eleven

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candies next is eleven out of thirty nine Well multiply

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the individual probabilities together to find the total probability of

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taking an apple candy first and a lemon candy seconds

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We've got to calculate this whole thing first that seven

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times eleven at seventy seven over whatever forty times thirty

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nine years and the total there is point Oh for

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nine force about five percent Okay great job so far

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Using the same reasoning is before we find the probability

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of taking a lemon candy first which is eleven Out

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of forty all right we've removed one candy from the

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bags of the probability of taking an apple candy Second

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is seven out of thirty nine Well now he multiplied

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those two probabilities together to find the total probability of

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taking a lemon candy and then an apple candy and

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we get eleven over forty times seven over thirty nine

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And guess what It's still point Oh four nine four

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Note that apple then lemon and lemon than apple have

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the same probability Will the total probability of either one

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of these two sequences of events occurring is the sum

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of their probabilities We're goingto adam up so it's about

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nine point eight percent They're rounded to match the answer

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choices while the probability of taking both an apple and

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a lemon candy then and either order is point Oh

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nine nine yeah mingo nif isn't so that's it The 00:02:06.102 --> [endTime] answer is b and we're shmoop this

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