Question

If a coin is tossed 3 times.Find the probability that no two successive wil show the same face.​

Answer 1

Answer:

s={HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}

n(s)=8

Answer 2

The probability that no two successive will show the same face is $\dfrac{1}{4}$.

Step-by-step explanation:

Given : A coin is tossed 3 times.

To find : The probability that no two successive will show the same face.​ ?

Solution :

When the coin is tossed 3 times,

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} = 8

The favorable outcome of no two successive will show the same face

i.e. { HTH, THT}=2

The probability of no two successive will show the same face is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{2}{8}$

$\text{Probability}=\frac{1}{4}$

#Learn more  

If two dice are thrown simultaneously, then the probability of getting a doublet or a total of 6 is

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