A jar contains 7 poker chips: 3 blue, 3 red and 1 white. You randomly select two chips from the jar. What is the probability that your selection includes the white chip? Round your answer to two decimal places.

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Answer:

The probability that you will have a white chip is 0.309

Step-by-step explanation:

You on the first try have a 1/7 or 14.285% chance the second one has a 1/6 or a 16.666% you then add them together and you have a 30.9% chance

The Probability of selecting white chips is [tex]0.0286[/tex].

Let,

  • Number of blue chips [tex]=3[/tex]
  • Number of red chips [tex]=3[/tex]
  • Number of white chips [tex]=1[/tex]
  • Number of chips drawn [tex]=2[/tex]
  • Total chips [tex]=7[/tex]

The probability of the poker chips is,

            [tex]\ n(A)=3\\\\n(B)=3\\\\n(C)=1[/tex]

Lets find the the probability of selecting white clip:

"Probability [tex]=[/tex] Number  of outcomes/ Total outcomes"

Randomly select two chips from the jar,

  • The probability of the first chip taken being white is,

           

                            [tex]P(C)=\frac{n(c)}{n(s)} \\\\P(C)=\frac{1}{7}[/tex]

          If the first chip is not white then the probability of the second chip being white is,

                     [tex]P(no\ white)=\frac{1}{6}[/tex]

  • Since, (of the 6/7 times that the first was not white) is,

                            [tex]\frac{1}{6} * \frac{1}{7} = \frac{1}{7}[/tex]

Total probability is the sum of the two probability is,

                            [tex]P=\frac{1}{7} +\frac{1}{7} \\\\P=\frac{2}{7}=0.286[/tex]

Hence,

The Probability of selecting white chips is [tex]0.0286[/tex].

For more information:

               

https://brainly.com/question/24164645

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Universidad de Mexico