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Radda [10]
3 years ago
14

Two balls are chosen randomly from an um containing 8 white, 4 black,and 2 orange balls. Suppose that we win $2 for each black b

all selected and we lose $1for each white ball selected. LetXdenote our winnings. What are the possible values o fX, and what are the probabilities associated with each value?
Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

See explanation.

Step-by-step explanation:

The possible values of fx are 2, 0, -1, you either win $2, win $0, or lose $1.

The probability of winning $2 is the probability of selecting a black ball, so it is 4/14 or 2/7.

The probability of not earning any money is the probability of an orange ball being selected, so its 2/14 or 1/7.

The probability of losing $1 is the probability of a white ball being selected, so it is 8/14 or 4/7.

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<h3>Answer:</h3>
  • left picture (bottom expression): -cot(x)
  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

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Then you have ...

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