Probabilities are used to determine the chance of an event.
- The value of P(C and D) is [tex]\frac{13}{140}[/tex]
- It can be a probability
Given
[tex]P(C) = \frac 17[/tex]
[tex]P(D) = \frac 7{10}[/tex]
[tex]P(C\ or\ D) = \frac 34[/tex]
P(C and D)
To calculate P(C and D), we make use of:
[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]
So, we have:
[tex]P(C\ and\ D) = \frac 17 + \frac 7{10} - \frac 34[/tex]
Take LCM
[tex]P(C\ and\ D) = \frac{20+98-105}{140}[/tex]
[tex]P(C\ and\ D) = \frac{13}{140}[/tex]
Can it be a probability?
All the given probabilities and the calculated probability, P(C and D) are between 0 and 1.
This means that, it can be a probability.
Read more about probabilities at:
https://brainly.com/question/24297863
