UNIT 3 - PRACTICE MILESTONE

Suppose a coin is being tossed. Let the random variable X be the number of tosses it will take until the coin lands on heads. Assuming that the tosses are independent, find the probability that it requires six tosses to get heads for the first time.

0.0156

The average number of heads that occur when a particular coin is flipped for one minute is eight. What is the probability that five heads are tossed during a particular 1-minute period?

0.09

A catering company offers three different meals for a large gathering. Based on the RSVPs from 1,200 guests, the meal preferences are listed in the table and broken down by gender. MenWomenChicken144252Seafood144228Beef276156 If an RSVP is selected at random, what is the probability that the guest is a man who chose chicken as his meal preference? Answer choices are rounded to the hundredths place.

0.12

Karen flipped a coin 50 times, and the coin came up heads 28 times. What is the relative frequency of tails in this experiment?

0.44

A catering company offers three different meals for a large gathering. Based on the RSVPs from 1,200 guests, the proportions of meal preferences are listed in the table and broken down by gender. MenWomenChicken0.120.21Seafood0.120.19Beef0.230.13 Given the guest chosen was a man, the probability that a randomly selected person chose the beef meal is __________.

0.489

Sandy tosses a fair coin multiple times, recording the total number of heads and then calculating the proportion of heads so far after each toss. She then constructs a graph to visualize her results. Which of the following statements is NOT true?

The probability distribution for the possible coin outcomes changes as the total number of coin tosses increases.

Which of the following is NOT a condition of the binomial distribution?

The variable of interest is the total number of observations before the first success or failure is observed.

Two sets A and B are shown in the Venn diagram below. Which statement is NOT true?

There are a total of 96 elements shown in the Venn diagram.

Jackie is randomly drawing from a deck of 52 cards. She first draws the king of spades, places it back in the deck, shuffles the deck, and then draws another card. This time the card is the seven of hearts. Which of the following statements is NOT true?

There was a lower probability that the king of spades would be drawn the second time, because it was drawn the first time.

Ben is a sheepherder who often likes to play tricks on his employer by claiming that he sees a nearby predator when there is, in fact, no predator around to threaten his flock. This is an example of ________.

false positive

What is the probability of drawing a queen of hearts or a king of diamonds?

1/26

Bailey was trying to decide which type of ice cream topping to restock based on popularity: chocolate fudge or caramel. After studying the data, she noticed that she sold more caramel toppings on weekdays and weekends. However, after combing through her entire sales records, she actually sold more chocolate fudge toppings than caramel toppings. Which paradox had Bailey encountered?

Simpson's Paradox

Describe this probability distribution.

discrete distribution

Using the Venn diagram provided, what is the probability that event A or event B occurs?

0.71

Using the Venn diagram, the probability that event A occurs is __________. The conditional probability of event B occurring, assuming event A has happened [P(B|A)], is __________.

0.75; 0.67

In an experiment, a die is rolled and a coin is tossed. What is the probability of rolling a six and flipping a head?

1/12

A lottery uses a container with 25 identical balls numbered 1 through 25, from which three balls are selected. What is the theoretical probability that the number 13 is picked first?

1/25

Annie was having fun playing poker. She needed the next two cards dealt to be clubs so she could make a flush (five cards of the same suit). There are 14 cards left in the deck, and five are clubs. What is the probability that the two cards dealt to Annie (without replacement) will both be clubs? Answer choices are in percentage format, rounded to the nearest whole number.

11%

Serena is at a casino playing the game of craps, where she rolls two standard dice and the numbers are added together. Select a possible outcome when she rolls the dice.

12

Danielle is playing a game where she selects a card from a deck of four cards, labeled 1 , 2, 3, or 4. The possible cards and probabilities are shown in the probability distribution below. What is the expected value for the card that Danielle selects?

2.7

Mark looked at the statistics for his favorite baseball player, Joe Mauer. Mark looked at seasons when Mauer played 150 or more games and found that Mauer's probability of hitting a home run in a game is 0.189. If Mark uses the normal approximation of the binomial distribution, what will be the variance of the number of home runs Mauer is projected to hit in 150 games? Answer choices are rounded to the hundredth place.

22.99

What is the probability of NOT drawing a diamond from a standard deck of 52 cards?

3/4

Jim is at the racetrack and has bet on his favorite horse. At post time, the odds in favor of his horse winning were 5:7. What is the probability ratio for Jim's horse to win?

5/12

Jane is playing a game of Yahtzee. In this game, five standard dice are rolled on the first roll. Then some of the dice may be rolled again on the second roll. What is the total number of possible outcomes for each trial?

7,776

Zhi went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards. Zhi knows that getting 21, or a blackjack, is the best hand possible. She really likes her chances when she is dealt an Ace card first. Zhi wonders what her chances are of getting an Ace if she gets a red card. What is the probability that the card is an Ace, given that it is a red card? Answer choices are in a percentage format, rounded to the nearest whole number.

8%

What is the probability of drawing a black card or a face card from a standard deck of 52 cards?

8/13

Which of these are overlapping events?

Drawing a red card or a Queen from a standard deck of cards