Mohit has two coins, one of Rs. 1 denomination and the other of Rs. 2 denomination. He tosses the tw

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15 Apr 2016 Probability

Mohit has two coins, one of Rs. 1 denomination and the other of Rs. 2 denomination. He tosses the two coins simultaneously. What is the probability that he gets at least one head?

OPtion

1) 1/3
2) 1/4
3) 2/3
4) 1/2
5) 4/5
6) 3/5
7) 3/4
8) 1/6
9) 4/5
10)None of these

Solution

We write H1 for head and T1 for tail of Rs. 1 coin. We write H2 for head and T2 for tail of Rs. 2 coin.
Thus, the possible outcomes are H1H2, H1T2, H2T1, T1T2
All the four outcomes are equally likely. Let the event getting at least one head be denoted by A.
Now, the three outcomes H1H2, H1T2, H2T1 favour the happening of the event A.
Therefore, P(A) = 3/4
Hence, the probability that Mohit gets at least one head is 3/4.
Option 7)

Correct Option: 7 Best Solution (22)

priti kiran   8 years AGO

total possible outcome is
{HH,TH,HT,TT}=4
and atleast one head-{HH,TH,HT}=3
So, probability of atleast one head is =3/4

Like? Yes (4) | No   

sangitarani   8 years AGO

when two coins are tossed no of possiblities are HH,HT,TH,TT

for atleast 1 head {HH,HT,TH}
SO ANS 3/4

Like? Yes (3) | No   

mcamanjeet   8 years AGO

probability for getting no head = 1/2*1/2
=1/4
now probability of getting at least one head = 1-1/4
= 3/4

Like? Yes (2) | No   

dev   8 years AGO

total outcomes = 4
required outcomes = 3 ( as atleast one head required)

so probability = 3 / 4
opton (7) is correct

Like? Yes (2) | No   

Vivek   8 years AGO

Probables are tt, th, ht, hh
3 conditions have atleast one head among 4.
So probability =3/4

Like? Yes (2) | No (2)  

RAHUL KUMAR   8 years AGO

Here = { HH, HT, TH, TT }
Let E = event of getting at least one head.
So, E = { HH, HT, TH }
P(E) = n(E)/n(S) = 3/4
option (7)

Like? Yes | No   

sani musa tsoho   8 years AGO

the samle Space S={HH, TH, HT, TT} n(S)= 4
Let E be an Event of getting at least one head
E={HH, TH, HT} n(E)= 3
therefore, Prob(E)= n(E)/n(S)
prob(E)= 3/4
Option 7

Like? Yes | No   

Mukund Manohar   8 years AGO

Here n(S) =4={(T,T),(H,T),(T,H),(H,H)}
n(E)=3={(H,T),(T,H),(H,H)}
Reqd. Probability = n(E) /n(S)
=3/4

Like? Yes | No   

Gaurab Kumar Jha   8 years AGO

saple space = HH, HT, TH , TT
event getting at least one head
E = HH , HT , TH
therefore probablity = P(E)/ P(S)
= 3/4

Like? Yes | No   

madanpal vishwakarma    8 years AGO

for two coin possibilities is

TT , HT ,TH,HH

SO the probability of atleast one head is =3/4

Like? Yes | No   

Lenin   8 years AGO

for two coins, S= { HH, HT, TH, TT}
H- head, T-tail
so, probability to get at least one head is 3/4.
answer is option 7.

Like? Yes | No   

Mudita Singh   8 years AGO

no. of favourable events = {(t,h), (h,t), (h,h)}
no. of events in total = {(t,h), (h,t), (t,t), (h,h)}

Like? Yes | No   

Saranjit Singh   8 years AGO

probability that both are tails = 1/2 *1/2 = 1/4
probability that atleast one is head = 1-1/4=3/4

Like? Yes | No   

Aakash Beniwal   8 years AGO

{Hh} {Ht} and {Th} combinaton out of {Hh},{Ht},{Th},{Tt} combinaton

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Amutha veni V   8 years AGO

event of getting atleast 1 head having nly 3 chances frm 2 coins

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Akrati Soni   8 years AGO

1/2 *1/2 for one head
same for another coin
nd 1/2*1/2 for both heads.so 3/4 is ans.

Like? Yes | No   

Althaf   8 years AGO

total outcomes=4,
at least one head possibilities=3
ans=3/4

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Mathavan   8 years AGO

number of sample space is 4.
number of at least one haed when toss is 3

Like? Yes | No   

Kalpana   8 years AGO

sample space={HH,HT,TH,TT}
at least one head=3
so ans is 3/4

Like? Yes | No   

Jiggisha   8 years AGO

there are 4 possibility 1 be HH 2-HT 3-TH and 4- TT so total options are 4 and 3 possible for which get one Head so the answer is 3/4 total outcomes of head by total outcomes

Like? Yes | No   

Nandkishor jaiswal   8 years AGO

total possibility will be {HH, HT, TH, TT } = 4
so getting atleast one head chances will be 3/4

Like? Yes (1) | No (2)  

Akshat Sood   8 years AGO

probability = in tossing 1 rupee coin
and 2 rupee coin, total cases =6
probability =6/8=3/4

Like? Yes | No (1)