Respuesta :
Answer:
Required Probability in the lowest terms as fractions = [tex]\frac{15}{182} =0.0824[/tex]
Step-by-step explanation:
Step 1:-
Given Suzan has three red marbles, two green ones, five white ones, and two purple ones.
Total marbles = 3R+2G+5W+2P = 12
The number of exhaustive cases that the five marbles drawn from 12 marbles
n(S) = [tex]12C_{5} = 792 ways[/tex]
by using formula [tex]n_{Cr_{} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-5)!5!}[/tex] = 792
The number of favorable cases
She has drawn two red marbles from 3 red marbles, that is 3c₂ ways
she has drawn one marble drawn from 2 green marbles, that is 2c₁ ways
she has drawn one marble drawn from 5 white marbles, that is 5c₁ ways
she has drawn one marble drawn from 2 purple marbles, that is 2c₁ ways
The favorable cases are (n(E) = 3c₂ X 2c₁X5c₁X2c₁ = 60 ways
Required Probability = [tex]\frac{n(E)}{n(S)}[/tex]
[tex]Required probability = \frac{n(E)}{n(S)} = \frac{60}{792}[/tex]
Required Probability in the lowest terms as fractions = [tex]\frac{15}{182} =0.0824[/tex]
