Take Home test on Probability) N@<\/p>\n
Use the chart of sums of rolling 2 dice.<\/p>\n
234567<\/p>\n
345678<\/p>\n
456789<\/p>\n
5678910<\/p>\n
67891011<\/p>\n
789101112<\/p>\n
Find the probability of the following sums<\/p>\n
P (sum of 4) <\/p>\n
Psum of 4=336=112P (sum 3) or P (sum of 5) <\/p>\n
Psum 3=236and Psum of 5=436Psum 3 or Psum of 5=236+436=636=16P (sum greater than 8) <\/p>\n
Psum greater than 8=1036=518P (sum less than 6) <\/p>\n
Psum less than 6=1036=518Use the following chart. Suppose you encounter a delegate at random at a convention.<\/p>\n
Women Men<\/p>\n
Republicans 20 29<\/p>\n
Democrats 24 17<\/p>\n
Independents 7 3<\/p>\n
Find the following probabilities:<\/p>\n
You meet a woman <\/p>\n
Pwoman=51100You meet an Independent <\/p>\n
Pindependent=10100=110You do not meet a Democrat <\/p>\n
Pnot a democrat=1-Pdemocrat=1-41100=59100You meet a female Republican <\/p>\n
Pfemale republican=20100=15You meet someone who is not a male Democrat <\/p>\n
Pnot a male democrat=1-Pmale democrat=1-17100=83100Use the following deck of cards<\/p>\n
Spades Black A K Q J 10 9 8 7 6 5 4 3 2<\/p>\n
Hearts Red A K Q J 10 9 8 7 6 5 4 3 2<\/p>\n
Clubs Black A K Q J 10 9 8 7 6 5 4 3 2<\/p>\n
Diamonds Red A K Q J 10 9 8 7 6 5 4 3 2<\/p>\n
Find the following probabilities when selecting one card at a time from a deck of 52 playing cards with the following 26 red, 26 black, 4 of a kind, 13 in each suit<\/p>\n
P (K) <\/p>\n
PK=452=113P (red card) <\/p>\n
Pred card=1352=14P (spade) <\/p>\n
Pspade=1352=14P (of at least one Queen if you select a card from the deck 5 times)<\/p>\n
Pat least one queen=1-Pnon-queen card=1-48C552C5=1-0.6588=0.34P (10 or a spade) <\/p>\n
P10 or spade=P10+Pspade-P10 and spade=452+1352-152=413You have a jar of jelly beans.<\/p>\n
5 Red 6 blue 5 yellow 8 orange 2 green and 3 purple <\/p>\n
Find the following probabilities if you replace the jelly bean before making another selection<\/p>\n
Total number of beans = 5+6+5+8+2+3=29P (green and red) <\/p>\n
Pgreen and red=Pgreen\u00d7Pred=229529=10841P (blue and blue) <\/p>\n
Pblue and blue=629629=36841P (purple and orange and yellow) <\/p>\n
Ppurple and orange and yellow=329829529=12024389P (white) <\/p>\n
Pwhite=029=0Find the following probabilities if you eat each selected jelly bean before making another selection.<\/p>\n
P (yellow and orange and blue <\/p>\n
Pyellow and orange and blue=529828627=201827P (red and red and red) <\/p>\n
Pred and red and red=529428327=51827 P (black) <\/p>\n
Pblack=0Flip a coin three times <\/p>\n
These are all the possibilities<\/p>\n
H H H<\/p>\n
H H T<\/p>\n
H T H<\/p>\n
H T T<\/p>\n
T H H<\/p>\n
T H T<\/p>\n
T T H<\/p>\n
T T T<\/p>\n
Find the following probabilities<\/p>\n
P (3 tails) <\/p>\n
P3 tails=18P (3 heads) <\/p>\n
P3 heads=18P (exactly 2 Heads) <\/p>\n
Pexactly 2 heads=38P (at least 2 Heads) <\/p>\n
Pat least 2 heads=48=12P (more than 1 Tail) <\/p>\n
Pmore than 1 tail=1-Pno tail+P1 tail=1-18+38=1-48=12P (4 tails) <\/p>\n
P4 tails=0How many telephone numbers can be created if all numbers can be repeated and there are no restrictions.<\/p>\n
_ _ __ _ __ _ _ _<\/p>\n
If we see the phone number as having three “slots,” one for the area code, one for the first digit, and the third for the remaining six digits, there are 1 way to fill the first slot, 9 ways to fill the second slot, and 10*10*10*10*10*10 = 1000000 ways to fill the last slot, for a total of 1*9*106 = 954 possibilities.<\/p>\n
How many 8 letter passwords can be created from the following? 26 Uppercase and 26 lower case letters<\/p>\n
Numbers: 0 \u2013 9 Symbols: % $ # * &<\/p>\n
All numbers, letters and symbols can be repeated and there are no restrictions<\/p>\n
_ _ _ _ _ _ _ _<\/p>\n
Only lowercase: 268Only uppercase: 268Only digits: 108Only special: 338Grand total:\u00a095^8\u221269^8\u221269^8\u221285^8\u221262^8+43^8+59^8+36^8+59^8+36^8+52^8\u221226^8\u221226^8\u221210^8\u221233^8 = 3025989069143040\u22483.026\u00d7101<\/p>\n
How many outfits can you create from 8 pairs of foot ware, 12 shirts, 9 pairs of slacks, 5 pairs of shorts?<\/p>\n
8*12*9*5=4320 outfitsHow many ways can 9 people line up for a bus?<\/p>\n
9x8x7x6x5x4x3x2x1, or\u00a0362,880 ways\u00a0of arranging the peopleHow many passwords of 6 digits can be made using the following symbols?<\/p>\n
@,#,$,%,&,* Numbers from 0 \u2013 9<\/p>\n
All upper and lower case letters<\/p>\n
266*266*106*66=4.45*1027 passwordsA restaurant offers 5 vegetables, 6 main dishes, 10 desserts, 8 beverages, and 3 appetizers. How many different meals can be formed?<\/p>\n
5*6*10*8*3=7200 meals<\/p>\n","protected":false},"excerpt":{"rendered":"
Take Home test on Probability) N@ Use the chart of sums of rolling 2 dice. 234567 345678 456789 5678910 67891011<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-40881","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"\n