Respuesta :
Answer:
[tex]\frac{1}{16}, \frac{1}{4}, \frac{3}{16}[/tex]
Step-by-step explanation:
Recall a probability: [tex]P=\frac{F}{T}[/tex] , where F is a number of favorable outcomes and T is a number of total outcomes.
The probability to get tail is [tex]\frac{1}{2}[/tex] as well as probability to get head.
The probability to choose number 7 of 8 numbers at total is equal to [tex]\frac{1}{8}[/tex].
Therefore, the probability to get number 7 and a tail is:
[tex]\frac{1}{8}\cdot \frac{1}{2}=\frac{1}{16}[/tex]
Prime numbers from 1 to 8 are: 2, 3, 5 and 7, so there are 4 numbers of 8 numbers in total, so the probability to get a prime number is [tex]\frac{4}{8}=\frac{1}{2}[/tex].
The second probability is equal to [tex]\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}[/tex].
The numbers greater than 5 are: 6,7,8, so there are 3 numbers of 8 in total, so the probability to get a number greater than 5 is [tex]\frac{3}{8}[/tex].
The third probability is equal to: [tex]\frac{3}{8}\cdot \frac{1}{2}=\frac{3}{16}[/tex].
