Question

You have a bag that contains 6 red marbles and 3 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of the events.

Answer 1

Answer:

12/27

Step-by-step explanation:

You have a bag that contains 6 red marbles and 3 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of the events.

Let the total number of marbles = 6 red marble + 3 blue marbles = 9 marbles

You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of the events.

Assume all you picked is red( without replacement)

= 6/9 × 5/9

= 30/81

= 10/27

Assume all you picked is blue( without replacement)

= 3/9 × 2/9

= 6/81

= 2/27

The probability of the events is calculated as:

All red or All blue

= 10/27 + 2/27

= 12/27