Question

if the difference between the probability of happening and non happening of a event is 3 by 7 find the probability of happening the event e

Answer 1

prob. of happening of an event = P(E)

prob. of not happening of an event = Pbar(E)

Answer 2

Answer:

$P(E) = \frac{5}{7}$

Step-by-step explanation:

if the difference between the probability of happening and non happening of a event is 3 by 7 find the probability of happening the event E

Let the probability of happening of an event P(E)

and not happening of that event is P(notE)

We know that

$P(E) + P( \bar E) = 1 \\ \\ P(E) - P( \bar E) = \frac{3}{7} \: \: (given)$

solve these two equations to find the value of P(E)

Add both equations

$2P(E) = 1 + \frac{3}{7} \\ \\ 2P(E) = \frac{10}{7} \\ \\ P(E) = \frac{10}{14} \\ \\ P(E) = \frac{5}{7}$

Hope it helps you.