Answers to Theoretical Probability Quick Check and Practice
Quick Check:
A student has a bag of marbles. There are 5 pink, 7 red, 12 green, 2 blue, and 4 black marbles in the bag. Calculate the theoretical probability of picking a green marble.
A: 2/5
Emma has a bag of marbles. There are 9 pink, 5 red, 8 green, 2 blue, and 6 white marbles in the bag. Calculate the complement of not picking a pink marble.
A: 7/10
A spinner with 9 equal sections labeled with the letters A, A, B, B, B, C, C, C, and D is spun 198 times. Which of the following correctly predicts how many times the spinner will land on the letter B?
A: 66 times
Conor has a bag of marbles. He counts out 10 marbles and finds that there are 3 blue marbles among them. If the bag has 600 marbles, predict how many will be blue.
A: 180 blue marbles
A student demonstrates probability by using a 6-sided number cube with numbers 1, 2, 3, 4, 5, and 6. The student rolls the number cube 246 times. Predict how many times a 3 or 5 will be rolled.
A: 82 times
Practice:
Lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the theoretical probability of her picking a 4 from the deck of cards? The answer should be a fraction. Remember to simplify.
A: 1/13
Jaque has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the theoretical probability of him picking a heart from the deck of cards? The answer should be a fraction. Remember to simplify.
A: 1/4
Lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the complement of her not picking a 4 from the deck of cards? The answer should be a fraction. Remember to simplify.
A: 12/13
A light bulb manufacturer found that 3 out of every 268 light bulbs in every batch were bad. If they produced 22,158 light bulbs, how many are bad?
A: 248 light bulbs are bad.
A 6-sided number cube with the numbers 1, 1, 5, 7, 7, and 9 was rolled 246 times. Predict how many times the number 9 was rolled.
A: 41
npp!