Probability — Test Answers

A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?

Which of the following is the correct value and interpretation of cap p times open paren cap b divides cap f close paren ?

A randomly selected customer is asked if they like hot or iced coffee. Let cap h be the event that the customer likes hot coffee and let cap i be the event that the customer likes iced coffee. What is the probability that the customer likes neither hot nor iced coffee?

The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied for the test if they pass it with a B or higher?

Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?

A cereal company hopes to increase its sales by putting prizes in randomly selected boxes of its lowest-selling children’s cereal. The company claims that the probability of getting a prize is 0 point 7 5 Which is the correct interpretation of this probability?

A teacher offers gift cards as a reward for classroom participation. The teacher places the gift cards from four different stores into a bag and mixes them well. A student gets to select two gift cards at random (one at a time and without replacement). Each outcome in the sample space for the random selection of two gift cards is equally likely. What is the probability of each outcome in the sample space?

Suppose that 71 percent of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 7 such locations are generated, what is the probability that the first 5 locations are in water and the last 2 locations are on land?

On a certain hole, a golfer knows that he has a 70 percent chance of reaching the green (putting surface) in one stroke, 20 percent in two strokes, 8 percent in three, and 2 percent in four or more. If he reaches the green on his first stroke, he has an 80 percent chance of putting the golf ball in the cup on his second stroke. If he does not reach the green on his first stroke, then he has a 30 percent chance of putting the golf ball in the cup on his second stroke. What is the probability that the golfer will reach the green in one stroke and put the ball in the cup on his second stroke?

A hair stylist knows that 87 percent of her customers get a haircut and 40 percent get their hair colored on a regular basis. Of the customers who get their hair cut, 24 percent also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?

Suppose that 71 percent of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 locations are generated, what is the probability that at least 1 of those locations is over land?

In Canada, 63 percent of households speak English as their primary language, and 23 percent speak French as their primary language. If two Canadian households are selected at random, what is the probability that the first household speaks French, but the second household speaks English?

A recent survey suggests that 47 percent of all televisions are connected to the internet, 32 percent are voice controlled, and 22 percent are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?

For students majoring in Hospitality Management, it was determined that 5 percent have visited 1 – 10 states, 16 percent have visited 11 – 20 states, 45 percent have visited 21 – 30 states, 19 percent have visited 31 – 40 states, and 15 percent have visited 41 – 50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?

Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess. Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?

Suppose that 71 percent of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 such locations are generated, what is the probability that all 6 locations are in water?

A survey participant is randomly selected. Let cap f be the event that the participant’s first motor vehicle had four cylinders and let cap u be the event that the participant’s first motor vehicle was an SUV. What is the value of cap p times open paren cap f to the cap c th power and cap u close paren ?

Using the line of random numbers to run one simulation, what proportion of students tried out for a sport?

A survey participant is randomly selected. Let cap e be the event that the participant’s first motor vehicle had eight cylinders and let cap t be the event that the participant’s first motor vehicle was a truck. What is the value of cap p times open paren cap e or cap t close paren ?

Based on the dotplot of the simulation results and the pool player’s last 20 games, which conclusion can be drawn?