Exam 12: Counting and Probability

Solve the problem. -Among a group of 80 investors, 19 owned shares of Stock A, 29 owned shares of Stock B, 40 owned shares of Stock C, 12 owned shares of both Stock A and Stock B, 9 owned shares of Stock A and Stock C, 13 owned shares Of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the Three? How many owned shares of either Stock A or Stock C but not Stock B?

Solve the problem. -What is the probability that the arrow will land on an odd number? Assume that all sectors have equal area.

Solve the problem. -Suppose that the sample space is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and that outcomes are equally likely. Compute the probability of the event E: "a number divisible by 3". A) $\frac { 2 } { 5 }$ B) 3 C) $\frac { 3 } { 10 }$ D) $\frac { 1 } { 3 }$

Solve the problem. -How many different license plates can be made using 3 letters followed by 3 digits selected from the digits 0 through 9, if letters and digits may be repeated?

Solve the problem. -How many 5-card poker hands consisting of three 5's and two cards that are not 5's are possible in a 52-card deck?

Solve the problem. -Sam estimates that if he leaves his car parked outside his office all day on a weekday, the chance that he will get a parking ticket is 22%. If Sam leaves his car parked outside his office all day next Tuesday, what is the chance That he will not get a parking ticket?

Solve the problem. -In survey of 50 households, 25 responded that they have an HDTV television, 35 responded that they had a multimedia personal computer and 15 responded they had both. How many households had neither an HDTV Television nor a multimedia personal computer?

Solve the problem. -A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag? A) $\frac { 13 } { 6 }$ B) 6 C) $\frac { 6 } { 13 }$ D) $\frac { 2 } { 13 }$

Find the value of the combination. -C(5, 1)

Solve the problem. - Outcome Probability Jim 0 Tom 0 Bill 1 Carl 0

Solve the problem. -Find the probability of having 4 girls in a 4-child family. A) $\frac { 1 } { 16 }$ B) $\frac { 1 } { 32 }$ C) $\frac { 1 } { 4 }$ D) $\frac { 1 } { 8 }$

Find the value of the permutation. -P(3, 3)

onstruct a probability model for the experiment. -Rolling a 6-sided fair die once and tossing a fair coin once.

onstruct a probability model for the experiment. -Tossing two fair coins once

Solve the problem. -A student must choose 1 of 5 mathematics electives, 1 of 7 science electives, and 1 of 7 programming electives. How many possible course selections are there?

Solve the problem. -In the city of Gloomville, the probability of rain on New Year's Day is 65%. What is the probability that next New Year's Day it will not rain in Gloomville?

Solve the problem. -How many different 11-letter words (real or imaginary) can be formed from the letters in the word ENGINEERING?

Find the value of the combination. -C(7, 7)

Solve the problem. -List all the combinations of 6 objects a, b, c, d, e, and f taken 2 at a time. What is C(6, 2)?

Solve the problem. - Outcome Probability Red 0.16 Blue 0.17 Green 0.25 White 0.27