Question

1. A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a red marble, replacing it, and then picking another red marble?
2. A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a
blue marble, replacing it, and then picking a black marble?


3. A bag contains 4 white marbles, 3 black marbles, and 5 red marbles. Find the probability of picking a red marble?


4. A bag contains 3 white marbles, 2 black marbles, and 5 red marbles. Find the probability of picking a white marble

Answer 1

Answer:

(1) $\frac{1}{9}$

(2) $\frac{8}{75}$

(3) $\frac{5}{12}$

(4) $\frac{3}{10}$

Step-by-step explanation:

(1). A bag has 5 red marbles, 6 blue marbles and 4 black marbles.

Total marbles in a bag = 5 + 6 + 4 = 15 marbles

The probability of picking a red marble $P_{1}$ = $\frac{5}{15}$ = $\frac{1}{3}$

By replacing it and then picking another red marble  $P_{2}$= $\frac{5}{15}$ = $\frac{1}{3}$

P = $\frac{1}{3}$ × $\frac{1}{3}$ = $\frac{1}{9}$

(2). A bag has 5 red marbles, 6 blue marbles and 4 black marbles.

Total marbles in a bag = 5 + 6 + 4 = 15 marbles.

The probability of picking a blue marble =  $P_{1}$ = $\frac{6}{15}$ =  $\frac{2}{5}$

replacing it and then picking a black marble =  $P_{2}$ =  $\frac{4}{15}$

P =  $\frac{2}{5}$ ×  $\frac{4}{15}$ =  $\frac{8}{75}$

(3). A bag contains 4 white, 3 black and 5 red marbles.

Total marbles = 4 + 3 + 5 = 12 marbles

The probability of picking a red marble =  $\frac{5}{12}$

(4). A bag contains 3 white marbles, 2 black marbles and 5 red marbles.

Total marbles = 3 + 2 + 5 = 10 marbles.

The probability of picking a white marble =  $\frac{3}{10}$

(1) $\frac{1}{9}$

(2) $\frac{8}{75}$

(3) $\frac{5}{12}$

(4) $\frac{3}{10}$

Answer 2

So the questions has one in common, Find the probabilities of the following given marbles. So base on my calculation, I came up with the following answers:
#1. Red = 1/9
#2. Black = 16/225
#3. Red once = 5/12
#4. White once = 3/10
I hope you are satisfied with my answers and feel free to ask for more if you have more questions and clarifications. Have a nice day