A box of cookies contains 4 chocolate and 6 butter cookies. Miguel randomly sele

Question

A box of cookies contains 4 chocolate and 6 butter cookies. Miguel randomly selects a cookie and eats it. Then he randomly selects another cookie and eats it. (How many cookies did he take?)

E Part (c For each complete path through the tree, write the event it represents and find the probabilities. (Enter your probabilities as fractions.) P(BB) 30/90 P(BC) 24/90 PCB) J 24/90 P(CC) 2/90 E Part (d) Let S be the event that both cookies selected were the same flavor Find P(S) (Enter your probability as a fraction 42/90 Part(e) Let T be the event that both cookies selected were different flavors. Find P(T by two different methods: by using the complement rule and by using the branches of the tree. Your answers should be the same with both methods. (Enter your probability as a fraction.) Part (f) Let Ube the event that the second cookie selected is a butter cookie. Find PU. (Enter your probability as a fraction.) 54/90

Explanation / Answer

part e) both cookies are different=P(first cookie is chocolate*second is butter+first is chocolate*second is butter)

=(4/10*6/9+6/10*4/9)=48/90

please reply if you want explanation for any other part

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