Respuesta :
Answer:
3/4.
Step-by-step explanation:
Probability of q > probability of t which is 1/2, so
Probability of q could be 3/4.
The possible probability of event q is given by: Option D: It cannot be determined.
What is the sum of probabilities of two events who are complement of each other?
Suppose that there is an event E, and its complement E'
Then, we have:
P(E) = 1 - P(E')
Thus, the sum of their probability makes up 1 (P(E) + P(E') = 1)
This shows that one of E or E' will occur for sure.(they cannot occur together as they're complement of each other).
Assuming that t and q are complement of each other, then:
P(t) + P(q) = 1
Now, it is given that:
P(t) = 1/2
and P(q) > P(t)
That means:
[tex]P(q) > 1/2[/tex]
Adding P(t) on both the sides of this inequality:
[tex]P(q) + P(t) > 1/2 + P(t)\\1 > 1/2 + 1/2\\1 > 1[/tex]
This isn't true.
This is why, we cannot determine the probability of this event q because the considered situation doesn't seem in accordance with the probability theories (because whatever fact was given, we applied normal conclusions of probabiilty theories, and they together makes 1 > 1, so they together are not consistent).
Thus, the possible probability of event q is given by: Option D: It cannot be determined.
Learn more about complement event here:
https://brainly.com/question/23528544
