Question

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

Answer 1

Answer:

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

Step-by-step 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:

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

$P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}$

$P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}$

$P(White\ and\ Purple) = \frac{14*18}{100*100}$

$P(White\ and\ Purple) = \frac{252}{10000}$

$P(White\ and\ Purple) = 0.0252$

or

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