Question

Can you help with the following premises of probabilities? Please see image below. Thank you.

Probability & Counting Methods 9. Determine the probability that an odd number will roll when rolling a die. 10. Determine the probability that a number greater than four (4) will roll when rolling a die. 11. Please determine the probability of a clover coming out when you draw a card from a deck. 12. If you have 20 red balls, 12 green balls, 15 yellow balls and 8 blue balls in an urn: a) What is the probability that you will draw a red ball? b) What is the probability that you will draw a red or yellow ball? c) What is the probability that you will get a ball that is not blue? 13. If you throw two dice into the air, what is the probability that the sum of the scores is 7? 14. If you throw two dice into the air, what is the probability that the product of the scores is less than 6? 15. Explain why the following combinations are the same:c() y C()4 16. Evaluate the following: a) 7! b) P P(13) d) P (3) e) (19) 17. What is the probability that when tossing a coin three (3) times, it will come up heads all three times?

Answer 1

9) when die rolled 6 chances we have odd No. of i appears - 3 (1,3,5) probability: 3 ༄༅།- -0.5 G 10) Number greater than u 4 are 5, 606 probability = 2 با لی) +0.333 G N) Total cards 52 I No.gf clover cards - 13 • probability of getting I clover cand : 13 20-25 8 blue balls 12) 20. Red balls., 12 green balls, 15 yellow balls Total balls a 20+12+15+8 58 a) probability of drawing red ball , 2001, 30.364 856, b) نے if(y probability of drawing a red or a yellow ball 20c, BSc + SC 20415 55 11 35 7 20.636 58 Il c) 12 probability of getting a ball that is not blive (il may be Red, or yellow or green) oscy G+ Ci 550, 55c plader

20 412 415 55 : 47 : 0.855 55 13) cohen we throwo two dice Total outcomes : 6 36 36 nalmberg outcomes whose sum equals to 7 ¥o f1,4),(2, 5), (3,4),(4,3), (5,091,600 6 6 1 :: probability : 0.167 36 6 14) Throwing two dice total outcomes = 36 number of outcomes whose less than 6 product is ti (1,1), (1,2), (1,3), (1,4),(1,5) (2,1), (2/2) (3,1) (4.1) 15,1). to probability 5 (8 : 0.278 36

15) On holving two combinations (3) 8! cor" (8-0)) ! n! (n-1)]l ol. 1 8 외에 :1 81 c (3) (8-8) 8! of x 8! so they equal since the valus for both combination equal to 16) n! a) 7! 7X6x5*4*3*2*1 5040 PLT) & (n- b) P13) 121 12) (12-8) 9 ! 12x11810*9*8*7*6* SeyT ut 3 19958400 7 15x14x13x12 XUJ x 107 Lot x Styx3xYX 1 c) c(15) 101*015-10)) fas! 5+4+382% : 3003 91 d) P(?): 9-13! 9x8*7*6*5*4*3*2*1 :- 362880 1

20 201 e) (79) 20) 17! 3! 17 11! (20-17)) 10 6 20x 19 x 18 x LT 1x8x2x1 1140 17) thre coins when ton towing total outcomes 23,8 no.ge outcomes whick geting , CH,HH) heads all - probability dol- 0.125 8