The probability of getting heads then a number less than 4 is, 0.15
"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
The formula of the probability of an event A is:
[tex]P(A)=\frac{n(A)}{n(S)}[/tex] , where [tex]n(A)[/tex] is the number of favorable outcomes and [tex]n(S)[/tex] is the total number of events in the sample space.
For given situation,
Let, event A: getting heads on a coin toss
and event B: choosing a number less than four from 1-10
For event A, [tex]n(A)=1[/tex] and [tex]n(S)=2[/tex] (either head or tail)
So, [tex]P(A)=\frac{1}{2}[/tex]
Similarly, for event B:
choosing a number less than four = {1, 2, 3}
So, [tex]n(B)=3[/tex] and [tex]n(S)=10[/tex]
⇒ [tex]P(B)=\frac{3}{10}[/tex]
The probability of getting heads and choosing a number less than 4 is:
⇒ [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex]
[tex]=\frac{3}{20}[/tex]
[tex]=0.15[/tex]
Hence, the probability of getting heads then a number less than 4 is 0.15
Learn more about probability here,
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