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

Respuesta :

Answer:

[tex]P(White\ and\ Purple) = 2.52\%[/tex]

Step-by-step explanation:

Given

[tex]Purple = 18[/tex]       [tex]Green = 34[/tex]         [tex]White = 14[/tex]

[tex]Blue = 26[/tex]          [tex]Black = 8[/tex]

Required

Probability of first selecting white and then selecting purple

The total boxes is:

[tex]Total = 18+34+14+26+8[/tex]

[tex]Total = 100[/tex]

The probability is represented as:

[tex]P(White\ and\ Purple)[/tex]

And the solution is:

[tex]P(White\ and\ Purple) = P(White) * P(Purple)[/tex]

[tex]P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}[/tex]

[tex]P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}[/tex]

[tex]P(White\ and\ Purple) = \frac{14*18}{100*100}[/tex]

[tex]P(White\ and\ Purple) = \frac{252}{10000}[/tex]

[tex]P(White\ and\ Purple) = 0.0252[/tex]

or

[tex]P(White\ and\ Purple) = 2.52\%[/tex]

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