Answer :
The approximate probability that exactly two of the five are blue is 0.3641
Step-by-step explanation:
Step 1
The total marble in the bag are [tex](10+15+5+20)=50[/tex]
- The probability of drawing red marble is =[tex]\frac{10}{50}[/tex]=1/5
- The probability of drawing yellow marble is =[tex]\frac{15}{50}[/tex]=3/10
- The probability of drawing green marble is =[tex]\frac{5}{10}[/tex]=1/10
- The probability of blue marble is =[tex]\frac{20}{50}[/tex]=2/5
Step 2
When five marbles are drawn from the bag, we have to find the probability that exactly two of the five are blue.
=Probability that 2 blue marbles and 3 non blue marbles
Step 3
2 marbles should be drawn out of the 20 blue marbles and 3 non blue marbles out of 30 marbles
No of ways = [tex]20C2(30C3)[/tex]
Total no of ways of drawing 5 marbles = [tex]50C3[/tex]
Probability=[tex]20C2(30C3)/50C5=190(4060)/2118760=0.3641[/tex]
Step 4
The approximate probability that exactly two of the five are blue is 0.3641