Answer:
111/190 ≈ 58.4%
Step-by-step explanation:
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
P(plain, plain) = (12/20) (11/19) = 132 / 380
P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
P(currant, currant) = (3/20) (2/19) = 6 / 380
P(same) = 132/380 + 20/380 + 6/380
P(same) = 158/380
P(same) = 79/190
Therefore, the probability that they are different is:
P(different) = 1 − 79/190
P(different) = 111/190
P(different) ≈ 58.4%
The probability that the two biscuits were not the same type is 58.4%.
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
⇒ P(plain, plain) = (12/20) (11/19) = 132 / 380
⇒ P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
⇒ P(currant, currant) = (3/20) (2/19) = 6 / 380
⇒ P(same) = 132/380 + 20/380 + 6/380
⇒ P(same) = 158/380
⇒ P(same) = 79/190
Therefore, the probability that they are different is:
⇒ P(different) = 1 − 79/190
⇒ P(different) = 111/190
⇒ P(different) ≈ 58.4%
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Learn more about probability here: brainly.com/question/251701
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