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den301095 [7]
3 years ago
15

The probability of drawing a quarter from a bag of coins is 4/5. What is the probability of drawing a coin that is not a quarter

from the bag?
A. 20% B. 40% C. 75% D. 90%
Mathematics
1 answer:
elixir [45]3 years ago
8 0
The sum of probability for an event happening and not happening must be equal to 1 because there is a 100% chance that one or the other will occur.

So the probability on not drawing a quarter:

P(!Q)=1-4/5

P(!Q)=5/5-4/5

P(!Q)=1/5

As a percentage:

p/100=1/5

p=100/5

p=20%
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A human gene carries a certain disease from the mother to the child with a probability rate of 34%. That is, there is a 34% chan
fenix001 [56]

Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 \times 0.66 \times 0.66)

                     = 1 - 0.2875 = <u>0.7125</u>

7 0
3 years ago
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