Question

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.

Answer 1

30.87%

Explanation:

Answer 2

30.87%

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.