If the probability of an event not happening is 34 67 , what is the probability of the event happening?

Answer 1

Hi Holly,

Your question says, "If the probability of an event not happening is 34 67 , what is the probability of the event happening?" Probabilities have to be between 0 and 1 so I'm assuming you meant "34/67".

The probability of an event happening PLUS the probability of it NOT happening adds up to 1. Let's call the probability of the event happening "h". 34/67 is the probability of the event NOT happening so, h + 34/67 = 1.

Subtract 34/67 from both sides to isolate h. We need a common denominator to subtract fractions so rewrite 1 as 67/67:

h + 34/67 = 1

h + 34/67 = 67/67

h = 67/67 - 34/67 = (67-34)/67

h = 33/67.