Question

2. A coin is tossed twice
(a) Write the sample space
(b) Find the probability of getting
(i) Two heads
(ii) No head
(iii) exactly one head
(iv) at least one head​

Answer 1

Answer:

Given: There is a coin which is tossed twice

To find: Write the sample space for the given experiment

Explanation: A coin tossed twice So the outcomes are:

S

1

={HH,HT,TH,TT}

Now if the second drawn result is head then a die is rolled then the elementary events is

S

2

={(HH,1),(HH,2),(HH,3),(HH,4),(HH,5),(HH,6),TH(,1),(TH,2)(TH,3),(TH,4),(TH,5),(TH,6)}

Thus the total sample space for the experiment is S=S

1

∪S

2

S={(H,H),(H,T),(T,H),(TT),(HH,1),(HH,2),(HH,3),(HH,4),(HH,5),(HH,6),(TH,1),(TH,2),(TH,3),(TH,4),(TH,5),(TH,6)}

Answer 2

Step-by-step explanation:

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