SOLUTION: Hello! I'm just having some trouble with a question on an assignment I have due Monday. Question: Charlie is 5 years old. He is a very picky eater and can count to 5. His dad m

Question 348023: Hello! I'm just having some trouble with a question on an assignment I have due Monday.
Question: Charlie is 5 years old. He is a very picky eater and can count to 5. His dad makes him a giant bowl of grapes containing only good grapes with the same proportion of red, green, and black grapes. (0.22 Green grapes, 0.24 Black grapes, and 0.54 red grapes. I calculated this in the previous problem.) Charlie randomly picks out 5 grapes from the bowl with replacement after each grape. Charlie will eat one of the grapes that has the majority in 5. If there is a tie, Charlie will not eat a grape in that round. Charlie's dad replaces the grape that has been eaten after each round.
a) Let g be the event of Charlie eating a green grape. Determine the theoretical probability of event g, P(g)
Any help would be appreciated. Thank you so much! :)
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
this is a binomial problem

a picked out grape is green (p(G) = .22) or not green (p(N) = .78)

Charlie must pick out 3 or more green grapes to eat one

you need to sum the first 3 terms of the expansion (p(G) + p(N))^5

5C5{[p(G)]^5} + 5C4{[p(G)]^4}[p(N)] + 5C3{[p(G)]^3}{[p(N)]^2}
RELATED QUESTIONS
Hello, I am a student who is in Grade 11 and in Mathematics Grade 11 Foundations. We... (answered by mouk)

My son is having trouble on this question: 7-15x=-5(3x-4) I believe I have the... (answered by Fombitz)

i have a question on an algebra word problem. it is , john is 32 years old. he is twice... (answered by thechamp1011)

Hello, I'm having some trouble with this question with age, it is: Justine is 15years... (answered by Alan3354)

Hello, my question is and i am having a lot of trouble with it even with 2 other friends... (answered by josgarithmetic)

Hello, I am having trouble with using a TVM solver. I am not sure if I'm getting the... (answered by math_tutor2020)

Hello! I am having trouble with my homework and I would be very happy if someone could... (answered by Earlsdon)

Hi there! I'm having trouble with this question, and I think it's just that I'm doubting... (answered by Alan3354,josgarithmetic)

I am having some trouble with solving a few problems on my Algebra homework.... (answered by jsmallt9)