CBSE 11th Standard Maths Subject Probability Value Based Questions 2 Marks Questions 2021
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CBSE 11th Standard Maths Subject Probability Value Based Questions 2 Marks Questions 2021
11th Standard CBSE
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Reg.No. :
Mathematics
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Three coins are tossed. Find the probability of all heads
(a) -
Three coins are tossed. Find the probability of exactly 2 heads.
(a) -
Three coins are tossed. Find the probability of atleast 2 heads.
(a) -
Three coins are tossed. Find the probability of almost 2 heads.
(a) -
Three coins are tossed. Find the probability of no head.
(a)
2 Marks
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CBSE 11th Standard Maths Subject Probability Value Based Questions 2 Marks Questions 2021 Answer Keys
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Sample space
S = {HHH, HHT, HTH, HTT, THT, TTH, THH, TTT}
\(\therefore \) Total number of sample space, n(S) = 8
P (all heads) = \(\frac { 1 }{ 8 } \) -
Sample space
S = {HHH, HHT, HTH, HTT, THT, TTH, THH, TTT}
\(\therefore \) Total number of sample space, n(S) = 8
There are three favourable cases for exactly 2 heads
HHT, HTH, THH.
\(\therefore \) P(exactly 2 heads) = \(\frac { 3 }{ 8 } \) -
Sample space
S = {HHH, HHT, HTH, HTT, THT, TTH, THH, TTT}
\(\therefore \) Total number of sample space, n(S) = 8
Atleast 2 heads \(\Rightarrow \) 2 or 3 heads
\(\therefore \) There are four favorable cases
[HHT, HTH, THH, HHH]
\(\therefore \) P (atleast 2 heads) =\(\frac { 4 }{ 8 } =\frac { 1 }{ 2 } \) -
Sample space
S = {HHH, HHT, HTH, HTT, THT, TTH, THH, TTT}
∴ Total number of sample space, n(S) = 8
P(atmost 2 heads) = P(not 3 heads)
=1 - P(3 head)
= 1-\(\frac { 1 }{ 8 } \)=\(\frac { 7 }{ 8 } \) -
Sample space
S = {HHH, HHT, HTH, HTT, THT, TTH, THH, TTT}
∴ Total number of sample space, n(S) = 8
P(no head) = P (all tails) = \(\frac { 1 }{ 8 } \)
2 Marks