11. A student is trying to pass calculus. She will stop trying if she pass the course or after three attempts. The probability of passing the course in one attempt is. You may assume these attempts are independent. Determine the probability that the student will pass calculus. HINT: If you got 99.9% you are too kind to the student.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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100%
ditional Probability, part X
110% +1
expected value of the sum of the numbers on the balls.
11. A student is trying to pass calculus. She will stop trying if she pass the course or after three attempts. The probability of
passing the course in one attempt is. You may assume these attempts are independent. Determine the probability that the
student will pass calculus. HINT: If you got 99.9% you are too kind to the student.
12. Consider the following casino game. A person pays $1 to play. The person tosses a fair coin 4 times.
2/2
• If no heads occur, the player must pay an additional $2.
• If one head occurs, the player must pay an additional $1.
• If two heads occur the player just looses their initial $1 paid.
• If three heads occur the player wins $3.
• If four heads occur the players wins $4.
What is the expected amount of money the player will win playing this game one time?
Transcribed Image Text:ditional Probability, part X 110% +1 expected value of the sum of the numbers on the balls. 11. A student is trying to pass calculus. She will stop trying if she pass the course or after three attempts. The probability of passing the course in one attempt is. You may assume these attempts are independent. Determine the probability that the student will pass calculus. HINT: If you got 99.9% you are too kind to the student. 12. Consider the following casino game. A person pays $1 to play. The person tosses a fair coin 4 times. 2/2 • If no heads occur, the player must pay an additional $2. • If one head occurs, the player must pay an additional $1. • If two heads occur the player just looses their initial $1 paid. • If three heads occur the player wins $3. • If four heads occur the players wins $4. What is the expected amount of money the player will win playing this game one time?
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