1. Review for Quest 2 Day 2

2. What is the probability of getting exactly 1 three in 7 rolls of a die? n = 7, k =1, P = 1/6, 1-P = 5/6 n C k p k (1-p) n-k 7 C 1 (1/6) 1 (5/6) 6 = 7 (1/6)(5 5 /46656) = 109375/279936

3. A quiz has 6 multiple-choice questions, each with 4 choices. What is the probability of getting 6 questions correct? 5 of 6 questions correct? n = 6, k = 6, P = ¼, 1- P = ¾ n C k p k (1-p) n-k 6 C 6 (1/4) 6 1/4096 n = 6, k =5, P = ¼, 1- P = ¾ n C k p k (1-p) n-k 6 C 5 (1/4) 5 (3/4) 6(1/1024)(3/4) 9/2048

4. 19b. third term of (3x + 2y) 6 1( ) 6 + 6( ) 5 ( ) 1 + 15( ) 4 ( ) 2 15(3x) 4 (2y) 2 15(81x 4 )(4y 2 ) 4860x 4 y 2

5. 8)There are 4 navy socks and 6 black socks in your drawer. One dark morning you randomly select 2 socks. What is the probability that you will choose a navy pair? With Replacement 4 4_ 10 2 2_ 5 5 4_ 25 Without Replacement 4 3 10 9 2 1_ 5 3 2_ 15

6. 12) A pair of dice is thrown. Find the probability that the dice match, given that their sum is greater than five. P(dice match/sum >5) = 4 26 = 2 13 (1,5)(1,6) (2,4)(2,5)(2,6) (3,3)(3,4)(3,5)(3,6) (4,2)(4,3)(4,4)(4,5)(4,6) (5,1)(5,2)(5,3)(5,4)(5,5)(5,6) (6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

7. 13. One card is drawn from a regular deck. What is the probability that it is a queen if it is known to be a face card? P(Q/F) = n(Q and F)/n(F) ( = P(Q and F)/P(F)) = 4 12 = 1 3

8. From HW 10 (12) Conditional Worksheet 4.Out of 1000 students surveyed, 10% reported that they had had a car accident since getting their license, 40% reported driving more than 10,000 miles since getting their license and 6% had driven more than 10,000 miles and had an accident. a. Incorporate the facts given above into a conditional chart. AA M M

9. From HW (10) 12 Conditional Worksheet 4.Out of 1000 students surveyed, 10% reported that they had had a car accident since getting their license, 40% reported driving more than 10,000 miles since getting their license and 6% had driven more than 10,000 miles and had an accident. Incorporate the facts given above into a conditional chart. AA M 60400 M 100 1000

10. From HW 10 (12) Conditional Worksheet 4.Out of 1000 students surveyed, 10% reported that they had had a car accident since getting their license, 40% reported driving more than 10,000 miles since getting their license and 6% had driven more than 10,000 miles and had an accident AA M 60340400 M 40560600 100900 1000 AA M 60400 M 100 1000

11. From HW 10 (12) Conditional Worksheet 4.Out of 1000 students surveyed, 10% reported that they had had a car accident since getting their license, 40% reported driving more than 10,000 miles since getting their license and 6% had driven more than 10,000 miles and had an accident. Find the probability that a student a.Had driven more than 10000 miles without having an accident. P(M  A) 340 17 1000 50 b. Had driven no more than 10000 miles and did not have an __ accident. P(M  A) 560 14 1000 25 AA M 60340400 M 40560600 100900 1000

12. From HW 10 (12) Conditional Worksheet 4.Out of 1000 students surveyed, 10% reported that they had had a car accident since getting their license, 40% reported driving more than 10,000 miles since getting their license and 6% had driven more than 10,000 miles and had an accident. Find the probability that a student c.Who drove no more than 10,000 miles had an accident. P(A)  M 40 1 600 15 d. Who did not have an accident drove more than 10,000 miles P(M/ A) 340 = 17 900 45 AA M 60340400 M 40560600 100900 1000