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16 June, 03:21

Priya's cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being

chocolate brown. Priya wants to know the probability that at least two of the kittens

will be chocolate brown.

To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial,

Priya pulled out and returned a cube 5 times. Priya conducted 12 trials.

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Answers (1)
  1. 16 June, 03:42
    0
    30.87%

    Step-by-step explanation:

    Priya's simulation is fine, as 30% is represented by the 3 white cubes.

    The more times the experiment is carried out, the closer it is to the theoretical probability, which is calculated as follows:

    p (n = x) = nCx * p ^ x * q ^ (n-x)

    We obtain that p = 0.3 and q = 1-0.3 = 0.7. also n = 5 and x = 2.

    replacing we have:

    p (5 = 2) = 5C2 * 0.3 ^ 2 * 0.7 ^ (5-2)

    p (5 = 2) = 5! / (2! * 3!) * 0.03087

    p (5 = 2) = 0.3087

    which means that the probability is 30.87%, and the more the experiment is carried out, the closer it is to this probability.
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