Question

a coin is tossed 3 times find the probability of not getting the same result in all the tossess

Answer 1

the coin is tossed 3 times
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
n(S)=8
let A be an event of not getting the same result in all the tosses
A={HHT,HTH,HTT,THH,THT,TTH}
n(A)=6
P(A)=n(A)/n(S)
=6/8
=3/4
=0.75

Answer 2

The probability of not getting the same result in all the tosses is $\frac{3}{4}$

Step-by-step explanation:

Given : A coin is tossed 3 times.

To find : The probability of not getting the same result in all the tosses ?

Solution :

When the coin is tossed 3 times,

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

The favorable outcome of not getting the same result in all the tosses

i.e. {HHT, HTH, HTT, THH, THT, TTH}=6

The probability of not getting the same result in all the tosses is given by,

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

$\text{Probability}=\frac{6}{8}$

$\text{Probability}=\frac{3}{4}$

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