Answer:
The expression could be P(R and B) =P(R)*P(B) where two events are independent
The probability will be 4/25
Step-by-step explanation:
You can use the tree diagram to visualize the chances where red and blue marble appear when two marbles are drawn
Given;
P(S)=10+15+5+20=50
Probability of drawing a red , P(R)=10/50
Probability of drawing a blue; P(B)=20/50
From the tree diagram you will notice the probability of drawing a red then a blue occurs at RB and BR
In the first occurrence , RB the probability will be
[tex]\frac{10}{50} *\frac{20}{50} =\frac{200}{2500}[/tex]
In the second occurrence, BR the probability will be
[tex]\frac{20}{50} *\frac{10}{50} =\frac{200}{2500}[/tex]
Add the two probabilities
[tex]\frac{200}{2500} +\frac{200}{2500} =\frac{400}{2500} =\frac{4}{25}[/tex]
