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Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple

User Isaace
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1 Answer

2 votes

Answer:


P(White\ and\ Purple) = 2.52\%

Explanation:

Given


Purple = 18
Green = 34
White = 14


Blue = 26
Black = 8

Required

Probability of first selecting white and then selecting purple

The total boxes is:


Total = 18+34+14+26+8


Total = 100

The probability is represented as:


P(White\ and\ Purple)

And the solution is:


P(White\ and\ Purple) = P(White) * P(Purple)


P(White\ and\ Purple) = (n(White))/(Total) * (n(Purple))/(Total)


P(White\ and\ Purple) = (14)/(100) * (18)/(100)


P(White\ and\ Purple) = (14*18)/(100*100)


P(White\ and\ Purple) = (252)/(10000)


P(White\ and\ Purple) = 0.0252

or


P(White\ and\ Purple) = 2.52\%

User Siraj Kakeh
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