Answer :
To find the probability of the event not happening, we can use the concept of complementary probability. When we have an event, the sum of the probability of the event happening and the probability of it not happening is always 1.
1. Identify the probability of the event happening: We are given that the probability of the event happening is [tex]\(\frac{49}{60}\)[/tex].
2. Use the complementary probability rule:
[tex]\[
\text{Probability of the event not happening} = 1 - \text{Probability of the event happening}
\][/tex]
3. Substitute the given probability into the formula:
[tex]\[
\text{Probability of the event not happening} = 1 - \frac{49}{60}
\][/tex]
4. Perform the subtraction:
[tex]\[
\text{Probability of the event not happening} = \frac{60}{60} - \frac{49}{60} = \frac{11}{60}
\][/tex]
So, the probability of the event not happening is [tex]\(\frac{11}{60}\)[/tex]. This fraction is already in its simplest form.
1. Identify the probability of the event happening: We are given that the probability of the event happening is [tex]\(\frac{49}{60}\)[/tex].
2. Use the complementary probability rule:
[tex]\[
\text{Probability of the event not happening} = 1 - \text{Probability of the event happening}
\][/tex]
3. Substitute the given probability into the formula:
[tex]\[
\text{Probability of the event not happening} = 1 - \frac{49}{60}
\][/tex]
4. Perform the subtraction:
[tex]\[
\text{Probability of the event not happening} = \frac{60}{60} - \frac{49}{60} = \frac{11}{60}
\][/tex]
So, the probability of the event not happening is [tex]\(\frac{11}{60}\)[/tex]. This fraction is already in its simplest form.
