How is the theoretical probability of an event computed?
1 answer:
The theoretical probability of an event computed as
Theoretical Probability = This is further explained below.
Generally, The theoretical probability formula is the ratio of the number of successful outcomes to the total number of possible possibilities. We may write this formula out as follows:
In conclusion, the theoretical probability is mathematically given as
Theoretical Probability =
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Answer:
In total, 1130 people applied in the University.
Step-by-step explanation:
Total applicants admitted = 256
Let the number of females who applied in University = k
So, the number of males who applied = ( k + 70)
Now, 20 %of females are admitted ⇒ 20% of (k) is admitted
or, the number of females admitted in university =
Also , 25 %of males are admitted ⇒ 25% of (k + 70) is admitted
or, the number of males admitted in university =
So, according to the question:
0.20k + 0.25(k+70) = Total admissions = 256
or, 0.2k + 0.25k + 17.5 = 256
⇒0.45k = 238.5
or, k = 238.5/0.45 = 530
Hence, total number of females who applied = 530
And Total males who applies = ( k + 70) = 600
Now, TOTAL Applications = MALE applications + FEMALE applications
= 530 + 600 = 1130
Hence, in total 1130 people applied in the University.