Probability of Compound Events Assignment

Elliot wrote a computer program that randomly generates a number from 2 to 10. If he runs the program twice, what is the probability that the number generated both times is a prime number?

C

A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.

4/25

What is the probability of rolling a sum of 10 when rolling two number cubes?

A. 1/12

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 and flips a head?

1/12

A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?

2/33

Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day's challenge assignment. What is the probability that both students are girls?

3/20

A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?

A

To start a board game,the player who rolls two sixes gets to go first.What is the probability that a player will roll two number cubes and get two sixes?

A. 1/36

In Sal's sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?

C

Michael has 3 quarters, 2 dimes, and 3 nickels in his pocket. He randomly draws two coins from his pocket, one at a time, and they are both dimes. He says the probability of that occurring is 14 because 2 of the 8 coins are dimes. Is he correct? Explain.

No. Choosing two dimes are dependent events. The probability of choosing the first dime is 1/4 and the probability of choosing the second dime is 1/7 . The probability that both coins are dimes is