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Q:

Event A and B are independent. Find the indicated Probability.

$$P(A)=0.44$$

$$P(B)=?$$ (round answer to three decimal places)

$$P(A\text{ and }B)=0.16$$

Q:

Suppose we want to choose 6 objects, without replacement, from 15 distinct objects.

(a) How many ways can this be done, if the order of the choices does not matter?

(b) How many ways can this be done, if the order of the choices matters?

Q:

Are the sets equal?

$$A=\{15,16,16,17,17,17,18,18,18,18\}$$

$$B=\{18,17,17,15\}$$

Q:

Marlena has a bag of coins. The bag contains 8 quarters, 10 dimes, 4 nickels, and 2 pennies. She will randomly select a coin from the bag. What is the probability that Marlena will select a nickel?

$$\frac{1}{12}$$

$$\frac{1}{3}$$

$$\frac{1}{6}$$

$$\frac{1}{5}$$

Q:

In a survey of a group of people, it was found that 60% of the people liked apple, 70% liked orange and 400 people liked both of them. If 10% people liked non of them, then

(i) Represent the above information in a Venn-diagram

(ii) Find the total number of people in the survey

(iii) Find the number of people who like apple only.