A cereal company claims that 2 in every 15 boxes win a prize. What is the probability that you do not win a prize three times in a row?
P(lose once) = (15-2)/15 = 13/15 = (13/15)1
by the multiplication rule:
P(lose n times) = (13/15)n
To find the probability of not winning a prize three times in a row, we first need to calculate the probability of not winning a prize in a single box.
The cereal company claims that 2 out of every 15 boxes win a prize. Therefore, the probability of winning a prize in a single box is 2/15.
The probability of not winning a prize in a single box would be the complement of winning a prize, which is 1 - (2/15) = 13/15.
Since we want to calculate the probability of not winning a prize three times in a row, we need to multiply the probabilities together because the events are independent.
Therefore, the probability of not winning a prize three times in a row would be (13/15) * (13/15) * (13/15).
Let's calculate this probability: