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3 years ago

7

Olivia is making scarves.Each scarf will have 5 rectangles, and 2/5 if the rectangles will be purple. How many purple rectangles

does she need for 3 scarves?

2 answers:

Shalnov [3]3 years ago

6 0

6 purple rectangles is all she need.

Andreyy893 years ago

5 0

2 out of 5 rectangles are purple so if 1 scarf has 2 purple rectangles there would be 6 purple rectangles in 2 scarves

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P(B) = 8/12

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P(B ∩ R) = 8/33

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<em><u>Solution:</u></em>

<em><u>The probability is given as:</u></em>

$Probability = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}$

Given that,

A box contains four red balls and eight black balls

Red = 4

Black = 8

Total number of possible outcomes = 12

Let event B be choosing a black ball first and event R be choosing a red ball second.

<h3><u>Find P(B)</u></h3>

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<h3><u>Find P(B n R)</u></h3>

$P(B n R) = P(B) \times P(R)\\\\P(B n R) = \frac{8}{12} \times \frac{4}{11}\\\\P(B n R) = \frac{8}{33}$

<h3><u>Find </u><u> P(R | B)</u></h3><h3> $P(R | B) = \frac{P(R n B)}{P(B)}\\\\P(R | B) = \frac{\frac{8}{33}}{\frac{8}{12}}\\\\P(R | B) = \frac{8}{33} \times \frac{12}{8}\\\\P(R | B) = \frac{4}{11}$ </h3>

<em><u>The probability that the first ball chosen is black and the second ball chosen is red is about percent</u></em>

$\frac{8}{33} \times 100 = 0.24 \times 100 = 24 \%$

Thus the probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

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