anonymous
  • anonymous
MM plain candies come in various colors. According to the MM/Mars Department of Consumer Affairs, the distribution of colors for plain MM candies is: Colors-Purple,Yellow,Red,Orange,Green,Blue,Brown Percentage-20%,20%,20%,10%,10%,10%,10%. Suppose you have a large bag of plain MM candies and you take one candy at random. Find the P(purple candy or orange candy) a. 10% b. 20% c. 30% d. 40%
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
There are some questions that accompany this one.
anonymous
  • anonymous
Using the information from the question, are the outcomes mutually exclusive? Why or why not? a. yes, they have the same probability b. no, they have the same probability c. yes, you are only drawing one MM so orange or purple cannot occur at the same time. d. no, you are only drawing one MM so orange or purple cannot occur at the same time.
anonymous
  • anonymous
Using the information from the problem, what is P(not blue candy)? a. 20% b. 10% c. 90% d. 80%

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jim_thompson5910
  • jim_thompson5910
the two events "purple" and "orange" are mutually exclusive, so we can use this formula P(purple candy or orange candy) = P(purple) + P(orange) P(purple candy or orange candy) = P(purple) + P(orange) P(purple candy or orange candy) = (20%) + (10%) P(purple candy or orange candy) = 30%
jim_thompson5910
  • jim_thompson5910
they are mutually exclusive because you can only pick one color at a time. In that case, you can only pick purple or orange. But not both at the same time.
anonymous
  • anonymous
Yeah, that makes sense.
jim_thompson5910
  • jim_thompson5910
what is P(not blue) equal to?
anonymous
  • anonymous
10%?
jim_thompson5910
  • jim_thompson5910
that's P(blue)
jim_thompson5910
  • jim_thompson5910
what's the probability of not getting blue
anonymous
  • anonymous
oh, sorry :p 90%
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
Thanks
jim_thompson5910
  • jim_thompson5910
np

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