Algebra II HW 0.5 Name Find each probability. 1. Hal is tossing a quaJter. a. What is the probability he will toss heads? b. What is the probability he will toss tails? c. What is the probability he will toss heads and then tails? 2. Hal tosses a quarter three times. What is the probability the result will be tails each time? 3. Katie rolls a 16 number cube twice. What is the probability she will roll an odd number and then an even number? 4. Katie rolls the 16 number cube three times. What is the probability that the result will be a 3 each time? There are 3 apples and 5 oranges in a bag. Determine each probability. 5. Selecting 2 apples when they are chosen at random without replacement 6. Selecting an orange. then an apple when they are chosen at random without replacement A student must have a B average or better for all courses to qualify for any athletic team at Jefferson High School. The table below shows the distribution of students' grades in three sports at the school. Students with Sport Students with a an A Average B Average Total Field hockey 15 4 19 Basketball 7 13 20 Football 2 22 24 Total 24 39 63 An athlete is randomly selected. Find each probability in decimal form. 7. A student has a B average given that they are a field hockey player. 8. A student plays football given that they have an A average. 9. The student has a B average and plays basketball. There are 4 green marbles and 3 white marbles in a bag. A white marble is randomly selected and not replaced. Then a green marble is randomly selected. 10. Are these events dependent or independent? 11. What is the probability of this event occurring?Find each probability. 12. A bag contains 5 red. 3 green. 4 blue. and 3 yellow marbles. Find the probability of randomly selecting a green marble. and then a yellow marble if the rst marble is replaced. 13. A sock drawer contains 5 rolled-up pairs of each color ol' socks. white. green. and blue. What is the probability of randome selecting a pair of blue socks. replacing it. and then randomly selecting a pair of white socks? No 1-5 number cubes are rolledone is black and one is white. 14. The sum of the rolls is greater than or equal to ti and the black cube shows a 3. Find the probability. 15. The white cube shows an even number. and the sum is 3. Find the probability. The table below shows numbers of registered voters by age in the United States in zoom based on the census. Find each probability in decimal form. Registered Voters [in Not Registered to Vote thousands} {in thousands} Total 13-24 25 32353 55 & over savor:- B.D33 34339 Total 142,0?[1 "3,525 215,595 m 15. A person is between the ages of 13 and 24 given that they are registered to vote. 1?. A person is not registered to vote given that they are between the ages of 45 and B4. 13. A randomly selected person is registered to vote an_d is at least 65 years old. A bag contains 12 blue cubes. 1.2 red cubes. and 2b green cubes. Determine whether the events are independent or depe ndent. and nd each probability. 19. A green cube and then a blue cube are chosen at random with replacement. 2U. Two blue cubes are chosen at random without replacement