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shtirl [24]
3 years ago
15

A jar contains 8 large red marbles, 5 small red marbles, 9 large blue marbles, and 7 small blue marbles. If a marble is chosen a

t random, which of the conditional probabilities is larger, P(blue|small) or P(small|blue)?
Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

Answer:

P(blue|small) > P(small|blue)

Step-by-step explanation:

P(blue|small):  7 / (5 + 7) = 7 / 12

P(small|blue): 7 / ( 9 + 7) = 7 / 16

7 / 12 > 7 / 16

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<u></u>

  • <u>1. As a fraction: 9/50</u>
  • <u>2. As a proportion: x/1 = 9/50</u>
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<u></u>

Explanation:

<u>1. As a fraction:</u>

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

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<u>2. As a proportion:</u>

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

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Where x is the probability.

<u>3. As a percentage</u>

You just have to multiply the probability by 100:

  • (9/50) × 100 = 18%
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