SOLUTION: a. The letters T, C and A are placed in a bag. If a student randomly draws the three letters out, what is the probability that they are drawn in order to spell CAT?
b. A student
Question 1177117: a. The letters T, C and A are placed in a bag. If a student randomly draws the three letters out, what is the probability that they are drawn in order to spell CAT?
b. A student can create a 3 digit computer password from the numbers 0 to 9. If the digits cannot be repeated, what is the probability of someone guessing the correct password?
c. The padlock on a gym locker consists of any 3 numbers from 1 to 60. If the numbers can repeat, what is the probability a student can guess the code on their first try?
d. Daniel, Amy, and Brad are 3 of the 10 finalists in a singing competition. What is the probability that Daniel, Amy, and Brad will place first, second, and third, in any order?
e. Three students are being selected from a class of 10 to be on a special committee. If Tracy, Sydney, and Sam are in the class, what is the probability that they are selected?
f. The letters of the word ALGORITHMS are placed in a bag, and a student draws 3 letters. What is the probability that the letters selected are 1 vowel and 2 consonants?
g. A student is planning a backpacking trip to Europe, where she will visit 7 countries. If there are 10 countries to choose, what is the probability that three of the countries will be France, Germany, and Italy?
h. The coach of a 10 player handball team has to pick 7 players to be in the starting lineup. If Devyn is on the team, what is the probability that he will be on the starting lineup?
match these to the above questions!
i. 3C3/10C3
ii. 3C3*7C4/10C7
iii. 1/10P3
iv. 3C1*7C2/10C3
v. 1/3P3
vi. 1/60^3
vii. 1C1*9C6/10C7
viii. 3P3/10P3
Hi
a. v. 1/3P3
b iii. 1/10P3
c. vi. 1/60^3
d. viii. 3P3/10P3
e. i. 3C3/10C3
f. iv. 3C1*7C2/10C3
g. ii. 3C3*7C4/10C7
h. vii. 1C1*9C6/10C7
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