1) Consider the following experiment: toss a fair coin twice, and answer the fol

Question

1) Consider the following experiment: toss a fair coin twice, and answer the following questions:
A) List all outcomes
B) Consider event A : at least one toss is head. List all outcomes included in this event.
C) What is the probability that event A occurs? (note that all outcomes are equally likely to happen)

2) Shuffle a deck of cards (a total of 52 cards without the jokers) and turn over the first card. How
many outcomes are in the sample space? How many outcomes are in the event that the first card
is a heart? What is the probability that the first card is a heart? (note that all outcomes are equally
likely to happen)

Explanation / Answer

A) all outcomes = {HH, HT, TH, TT}

B)atleast one toss is head ={ HT,HH,TH}

C)P(A) = 3/4

heart=h

spade=s

diamond=d

clubs=c

D) total outcomes = h1,h2,h3,h4,h5,h6,h7,h8,h9,h10,hK,hQ,hJack

d1,d2,d3,d4,d5,d6,d7,d8,d9,d10,dK,dQ,dJack

s1,s2,s3,s4,s5,s6,s7,s8,s9,s10,sK,sQ,sJack

c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,ck,cQ,cJack

outcomes that first card is a heart = {h1,h2,h3,h4,h5,h6,h7,h8,h9,h10,hK,hQ,hJack}

P(first card is a heart) = 13/52 =1/4

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