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Oksi-84 [34.3K]
3 years ago
6

A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that

the two balls are black and red?
Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

Probability = \frac{1}{5} or Probability = 0.2

Step-by-step explanation:

Given

Black = 25

White = 35

Red = 40

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)

Convert to mathematical expressions

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]

Solve for each probaility;

P(Black) = \frac{Black}{Total} = \frac{25}{100}

P(Red) = \frac{Red}{Total} = \frac{40}{100}

So, we have:

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]

Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]

Probability = [\frac{1}{10}] + [\frac{1}{10}]

Probability = \frac{1+1}{10}

Probability = \frac{2}{10}

Probability = \frac{1}{5}

or

Probability = 0.2

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