Respuesta :
a) Probability of exactly three boys is 0.3185
b) Probability of at least one boy is 0.9717
c) Probability of at least one girl is 0.9655
d) Probability of all of same sex is 0.06275
What is probability?
- Probability refers to potential. A random event's occurrence or the outcome is the subject of this area of mathematics.
- The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
- The degree to which something is likely to happen is basically what probability means.
- The potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
a) Probability of exactly three boys
Choose 3 out of 5 in C(5,3)=10 ways
So probability is:10*0.51^3*0.49^2
~0.3185
(b) Probability of at least one boy
p(at least one boy)=1-p( all girls)
=1-0.49^5
=0.9717
c) Probability of at least one girl
p(at least one girl)=1-p( all boys)
=1-0.51^5
=0.9655
d) Probability of all of same sex
p(all of same sex)=p(all boys)+p(all girls)=
0.51^5+0.49^5
=0.06275
To know more about probability check the below link:
https://brainly.com/question/13604758
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