Respuesta :
Answer:
[tex]0.081[/tex]
Step-by-step explanation:
GIVEN: An urn contains [tex]7[/tex] green and [tex]8[/tex] pink balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn.
TO FIND: What is the probability that all 4 balls drawn from the urn are pink.
SOLUTION:
Total balls in urn [tex]=15[/tex]
Total green balls [tex]=7[/tex]
Total pink balls [tex]=8[/tex]
probability of getting a pink ball [tex]=\frac{\text{total pink balls}}{\text{total balls}}[/tex]
[tex]=\frac{8}{15}[/tex]
As selected ball is returned to the urn, therefore drawing a ball is an independent event.
probability of getting all [tex]4[/tex] balls pink [tex]=\frac{8}{15}\times\frac{8}{15}\times\frac{8}{15}\times\frac{8}{15}[/tex]
[tex]=\frac{4096}{50625}[/tex]
[tex]=0.081[/tex]
Hence the probability that all 4 balls drawn from the urn are pink is [tex]0.081[/tex]
