Question

the outcome of a random experiment results in either success or failure. if the probability of success is twice the probability of failure, then the probability of success is

Answer 1

Possible Outcomes: Success, Failure

Let probability of success= x

Let probability of failure = y

ATQ: x= 2y (probabilty of x is twice y)

Sample space: X, X, Y

Probabilty of x= No. Of favourable outcomes/total no. Of outcomes

=2/3

Here is your answer!

Answer 2

Answer:

Step-by-step explanation:

Given:

Probability of success = twice the probability of failure

$P(S)=2*P(F)$

To find:

Probability of success , $P(S)$

Solution:

Let the probability of success $P(S) = x$

and probability of failure $P(F) = y$

By definition, the value of total probability is equal to 1.
 i.e. $x+y=1$

Substitute given data,

    $2y+y=1$    ( since $P(S) =x=2*P(F)= 2y$ )

   $3y=1$

      $y=\frac{1}{3}$

Probability of failure , $P(F) = y = \frac{1}{3}$

Probability of success , $P(S) = x = 2 y$

                                                       $=2(\frac{1}{3} )$

                                                       $=\frac{2}{3}$

Probability of success = $\frac{2}{3}$

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