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A box has 16 candies.12 red and 4 yellow.If you were picking candies from the box without looking.How many candies would you have to pick up to be certain to find two of the same colour��

Respuesta :

Answer:

16

Step-by-step explanation:

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We want to get the probability of randomly picking two candles of the same color. We will see that this probability is 0.6

First, the thing that we know is that there are 16 candles, 12 red and 4 yellow.

The probability of getting a red candle in the first pick is given by the quotient between the number of red candles and the total number of candles:

  • p = 12/16 = 3/4

The probability of getting another red candle is computed in the same way, but now there are 11 red candles and 15 candles in total:

  • q = 11/15

The joint probability is given by the product of the two individual probabilities:

P = p*q = (3/4)*(11/15) = 33/60 = 0.55

Now we must do the same thing but with the yellow candles, the probability of getting a yellow candle in the first draw is:

  • p = 4/16 = 1/4

For the second candle we have:

  • q = 3/15 = 1/5

The joint probability is:

P' = p*q = (1/4)*(1/5) = 1/20 = 0.05

Then the probability of getting two candles of the same color is the sum of the two above:

P'' = 0.55 + 0.05 = 0.6

If you want to learn more about probabilities, you can read:

https://brainly.com/question/251701

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