1. You roll a fair coin three times and observe the top face. a) What is the sam
ID: 3353673 • Letter: 1
Question
1. You roll a fair coin three times and observe the top face. a) What is the sample space in the above experiment?
Answer: ____________________________________________________
b) Give an example of two possible events
Answer: ____________________________________________________
c) Let A be the event that you observe all HEADs. Let B be the event that exactly two HEADs are observed. And let C denote the event that no more than one TAIL is observed. Construct the following:
cA = C A = C B =
CBA = B A = C A =
CB = A B C
d) Construct a Venn diagram to illustrate your answer for cAC
2. How many distinct permutations can be made from the letters of the word CARD?
Answer: ____________________________________________________
3. A boy has 5 cars, 3 trains and 2 trucks. a) How many ways are there to choose 5 toys from the boy’s collection of toys?
Answer: ____________________________________________________
4
b) How many ways are there to choose 2 cars, 2 trains and 1 truck?
Explanation / Answer
2)CARD is four letter word .
It can be done in 4! Ways.not letter is repeating.
Therefore answer is 4*3*2*1=24 distnitic permutations can be made from word CARD.
3)total toys=5cars+3trains+2trucks
=10
A)choose 5 toys from 10 toys =10c5
=10!/(10-5)!5!
=252.
B)no.ways choose 2 cars 2 trains 1 truck=5c2*3c2*2c1
=10*3*2
=60
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