Concept explainers
The probability of the socks which will randomly pick a pair of socks that match.
Answer to Problem 21PPS
The probability of probability of the socks which will randomly pick a pair of socks that match isP (pair of socks) =
Explanation of Solution
Given:
Blue socks:
Black socks:
White socks:
Total Marbles:
Calculation:
Fraction Form:
Calculate the probability of getting the pair of the socks as it is given that there total
P (Pair of Blue socks),
For this take the number of total of blue socks and total number of socks.
P (First sock is blue) =
Now remove the
P (Second sock is blue) =
P (Pair of Blue Socks) = P (First) * P (Second)
So the P (Pair of Blue socks)
P (Pair of Black socks)
For this take the number of total of black socks and total number of socks.
P (First sock is black) =
Now remove the
P (Second sock is black) =
P (Pair of Black Socks) = P (First) * P (Second)
So the P (Pair of Black socks)
P (Pair of White socks)
For this take the number of total of white socks and total number of socks.
P (First sock is white) =
Now remove the
P (Second sock is black) =
P (Pair of white Socks) = P (First) * P (Second)
So the P (Pair of White socks)
Now, as having the probability of the all colour socks, these
P (Pair of Socks):
P (Pair of Socks) = P (Blue) + P (Black) + White
Conclusion:
Hence, P (pair of socks)=
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