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Probability: Quiz 4
Probability: Quiz 4
1) I am going to flip a coin 80 times.
a) What is the expected number of times that the coin should land on a head?
b) What is the expected number of times that the coin should land on a tail?
2) I am rolling a fair dice 30 times.
a) What is the expected number of times that the dice will land on a 3?
b) What is the expected number of times that the dice will land on an odd number?
c) What is the expected number of times that the dice will land on a 7?
d) What is the expected number of times that the dice will not land on a 4?
3) The probability that a baseball team will win a game is 0.6 and the probability that they will lose a game is 0.3. They play 20 games. What is the expected number of games that they will win, lose and draw?
4) I have a bag that contains 10 balls; 5 of the balls are green, 3 of the balls are yellow and 2 of the balls are blue. After I have picked a ball out of the bag, I replace it.
a) I pick a ball out of the bag 50 times. What is the expected number of times that I will pick a green ball? What is the expected number of times that I will pick a yellow ball? And, what is the expected number of times that I will pick a blue ball?
b) I pick a ball out of the bag 20 times. What is the expected number of times that I will pick a green ball?
c) I pick a ball out of the bag 120 times. What is the expected number of times that I will pick a yellow ball?
a) What is the expected number of times that the coin should land on a head?
b) What is the expected number of times that the coin should land on a tail?
2) I am rolling a fair dice 30 times.
a) What is the expected number of times that the dice will land on a 3?
b) What is the expected number of times that the dice will land on an odd number?
c) What is the expected number of times that the dice will land on a 7?
d) What is the expected number of times that the dice will not land on a 4?
3) The probability that a baseball team will win a game is 0.6 and the probability that they will lose a game is 0.3. They play 20 games. What is the expected number of games that they will win, lose and draw?
4) I have a bag that contains 10 balls; 5 of the balls are green, 3 of the balls are yellow and 2 of the balls are blue. After I have picked a ball out of the bag, I replace it.
a) I pick a ball out of the bag 50 times. What is the expected number of times that I will pick a green ball? What is the expected number of times that I will pick a yellow ball? And, what is the expected number of times that I will pick a blue ball?
b) I pick a ball out of the bag 20 times. What is the expected number of times that I will pick a green ball?
c) I pick a ball out of the bag 120 times. What is the expected number of times that I will pick a yellow ball?