Question

A bag contains 3 blue, 4 yellow, 5 green and 8 red marbles. Pick 2 marbles without replacement. Find P(blue,red).

Answer 1

P(blue)= 0.15

P (red)=0.04

P(blue, red)=0.06

Step-by-step explanation

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible

Step 1

fin the total of outcomes possivle

`3\text{ blue marbles+4 yellow marbles +5 greeen marbles+8 red marbles= 20marbles}`

Step 2

to fin P( blue)

let

number of favorable outcomes= number of blue marbles= 3,then

`\begin{gathered} P(\text{blue)}=(3)/(20)=0.15 \\ P(\text{blue)}=0.15 \end{gathered}`

Step 3

to fin P( red)

let

number of favorable outcomes= number of red marbles=8,then

`P(\text{red)}=(8)/(20)=0.4`

Step 4

finally, if you pick 2 marbles without replacing, Find (blue, red)

`P(\text{blue, red)=}(3)/(20)\cdot(8)/(19)=(24)/(380)=0.06`

note that the total of outcomes for the second event is 19, because we already subtracted 1 marble.

I hope this helps you , have a great day