Mrs. Giavis has 26 marbles in a bag. She has 13 blue marbles, 10 red marbles, and 3 yellow marbles. What is the probably that Mrs. Giavis will pick a blue marble, not replace it…

Question

asked Dec 1, 2022 201k views

1 Answer

Chris Thornton · Answer 1 · 2022-12-07T22:29:57+0000

Given:

Total number of marbles = 26

Number of blue marbles = 13

Number of red marbles = 10

Number of yellow marbles = 3

To find:

The probability of getting a blue marble then a red marble (without replacement).

Solution:

Total number of marbles = 26

Number of blue marbles = 13

Probability of getting a blue marble is first draw is:

$P(Blue)=\frac{\text{Number of blue marbles}}{\text{Total number of marbles}}$

P(Blue)=(13)/(26)

P(Blue)=(1)/(2)

After drawing 1 marble, the remaining number of marbles in the bag is 25.

Probability of getting a red marble is second draw is:

$P(Red)=\frac{\text{Number of red marbles}}{\text{Remaining number of marbles}}$

P(Red)=(10)/(25)

P(Red)=(2)/(5)

Now the probability of getting a blue marble then a red marble (without replacement) is:

$P(\text{Blue then red})=P(Blue)* P(Red)$

$P(\text{Blue then red})=(1)/(2)* (2)/(5)$

$P(\text{Blue then red})=(1)/(5)$

Therefore, the probability of getting a blue marble then a red marble (without replacement) is
.