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In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the same sex?

a. $0.49$

b. $0.50$

c. $0.51$

d. $0.52$

e. $0.53$

In a class, there are $18$ girls and $14$ boys. If the teacher selects two students at random

to attend a party with the principal, what is the probability that the two students are the

same sex?

Suppose that a student is randomly selected from a large high school. The probability

that the student is a senior is $0.22.$ The probability that the student has a driver鈥檚 license

is $0.30$. If the probability that the student is a senior or has a driver鈥檚 license is $0.36$,

what is the probability that the student is a senior and has a driver鈥檚 license?

Rock smashes scissors Almost everyone has played the game rock-paper-scissors at some point. Two players face each other and, at the count of $3$, make a fist (rock), an extended hand, palm side down (paper), or a 鈥淰鈥� with the index and middle fingers (scissors). The winner is determined by these rules: rock smashes scissors; paper covers rock; and scissors cut paper. If both players choose the same object, then the game is a tie. Suppose that Player $1$and Player $2$ are both equally likely to choose rock, paper, or scissors. a. Give a probability model for this chance process. b. Find the probability that Player $1$wins the game on the first throw .

What kind of vehicle? : Randomly select a new vehicle sold in the United States in a certain month. The probability distribution for the type of vehicle chosen is given here.

a. What is the probability that the vehicle is a crossover? How do you know?

b. Find the probability that vehicle is not an SUV or Minivan .

c. Given that the vehicle is not a passenger car, what is the probability that it is a pickup truck?

2Drive to exercise : The two-way table summarizes the responses of 120 people to a survey in which they were asked, 鈥淒o you exercise for at least 30 minutes four or more times per week?鈥� and 鈥淲hat kind of vehicle do you drive?鈥�

Suppose one person from this sample is randomly selected.

a. Find the probability that the person drives an SUV.

b. Find the probability that the person drives a sedan or exercises for at least 30 minutes four or more times per week.

c. Find the probability that the person does not drive a truck, given that she or he exercises for at least 30 minutes four or more times per week.

Mike鈥檚 pizza - You work at Mike鈥檚 pizza shop. You have the following information about the 9 pizzas in the oven: 3 of the 9 have thick crust and 2 of the 3 thick-crust pizzas have mushrooms. Of the remaining 6 pizzas, 4 have mushrooms.

a. Are the events 鈥渢hick-crust pizza鈥� and 鈥減izza with mushrooms鈥� mutually exclusive? Page Number: 356 Justify your answer.

b. Are the events 鈥渢hick-crust pizza鈥� and 鈥減izza with mushrooms鈥� independent? Justify your answer.

c. Suppose you randomly select 2 of the pizzas in the oven. Find the probability that both have mushrooms.