Exam 11: Probability

Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45 -minute tours are offered at each attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time . -In how many ways could the traveler schedule all three tours in one day, with the art gallery being The last tour of the day?

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -Both marbles are green.

Solve the problem. -The odds against Carl beating his friend in a round of golf are 8 : 5. Find the probability that Carl Will lose.

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -Both marbles are red.

Solve the problem. -A certain game involves tossing 3 fair coins. It pays 24 cents for 3 heads, 12 cents for 2 heads, and 4 Cents for 1 head. What is a fair price to pay to play this game?

Find the probability. Round to the nearest ten-thousandth when necessary. -A fair coin is tossed 5 times. What is the probability of exactly 3 head(s)?

Estimate the indicated probability. -The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 14 14 21 19 meat 23 19 14 14 veggie 14 14 23 19 Determine the empirical probability that a junior prefers meat toppings. Round to the nearest Thousandth.

Evaluate the expression. - ${ } _ { 8 } C _ { 0 }$

Solve the problem. -In how many ways can a student work 7 out of 10 questions on an exam?

Solve the problem. -Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3,000 Tickets are sold at $1.00 each, find the expected value of winning for a person who buys 1 ticket.

Find the probability. -Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5.

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that 7 or more are ethnic minorities. Round to the Nearest ten-thousandth.

Find the probability. -A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting more than three twos. Round to the nearest thousandth when necessary.

Find the probability. Round to the nearest ten-thousandth when necessary. -A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at Random. Find the probability that you have all orange candies.

Find the probability. -A class consists of 54 women and 88 men. If a student is randomly selected, what is the probability That the student is a woman?

Solve the problem. -If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.02, what are the odds against a direct hit?

Solve the problem. -There are 3 cards in a hat; one is a king, one is a queen, and one is an ace. Two cards are to be Selected at random without replacement. Using a tree diagram , obtain the sample space for the Experiment. Then, find the probability that you choose the same card twice.

Evaluate the expression. - ${ } _ { 9 } \mathrm { C } _ { 9 }$

Find the probability. Round to the nearest ten-thousandth when necessary. -What is the probability that 15 tosses of a fair coin will show 5 tails?

Find the probability -A family has five children. The probability of having a girl is 1/2. What is the probability of having No girls? Round to the nearest ten-thousandth.