Question

Question 3 (9 points)Find Pred then green)What is the probability that you select a red marble, then a green marbleP (red) -P (then Green) - (Total of marbles will be 1 less)P (red then green) = *Hint: Multiply

Answer 1

Step 1

Write out an expression for the probability

`\text{The probaility of an event occurring= }\frac{\text{Number of required events}}{\text{Total number of events}}`

Step 2

Define terms

Total number of events = 8 marbles

Number of required events = red then marble

Number of red = 2 marbles2

Number of green = 2 marbles

Note: The question is without replacement.

Step 3

Get the required probabilities and the answer

`\begin{gathered} Pr(\text{red marble) = }(2)/(8) \\ Pr(\text{green marble without replacement) =}(2)/(7) \end{gathered}`

Hence the Pr(of red then green) is given as

`\begin{gathered} =Pr(\text{red) }* Pr(green\text{ without replacement)} \\ =(2)/(8)*(2)/(7)=(1)/(14) \end{gathered}`

Hence the probability of picking a red marble then a green marble = 1/14