The probability of getting 5 black chips and 6 white chips is [tex]\frac{7}{22}[/tex].
What do you mean by probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
According to data in the given question,
We have the given information:
Total number of different colored chips = 35
Number of black chips = 20
Number of white chips = 15
And you draw 11 chips at random.
Now, we will calculate the probability of getting 5 black chips and 6 white chips,
[tex]P(B) = \frac{5}{20} =\frac{1}{4} \\P(W) = \frac{6}{15} =\frac{2}{5} \\P( black and white ) = \frac{\frac{1}{4}*\frac{2}{5}}{\frac{11}{35} } \\=\frac{\frac{1}{2}*\frac{1}{5}}{\frac{11}{35} }\\=\frac{1}{10}*\frac{35}{11}=\frac{7}{22}[/tex]
Therefore, the probability of getting 5 black chips and 6 white chips is 7/22.
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