What is the image of the point (- 6, 1) after the reflection over the line y = 2 ?

15. For each of the following, write the probability as the intersection of two events. Then, indicate whether the two events ar

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Answer:

Step-by-step explanation:

a. The probability of selecting a 6 from the first draw and a 7 on the second draw when two balls are selected without replacement from a container with 10 balls numbered 1 to 10

Not independent because without replacement

Prob for both = $\frac{1}{10} \frac{1}{9} \\=\frac{1}{90}$

b. The probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected with replacement from a container with 10 balls numbered 1 to 10

Here independent because with replacement makes probability independent.

Prob for both = P(A) *P(B) = $\frac{1}{10} *\frac{1}{10} \\=\frac{1}{100}$ d

c. The probability that two people selected at random in a shopping mall on a very busy Saturday both have a birthday in the month of June. Assume that all 365 birthdays are equally

likely, and ignore the possibility of a February 29 leap-year birthday.

Here independent because one person birthday will not affect the other person birthday

Prob for both = $(\frac{30}{365})^2\\ =\frac{25}{5329}$