Question

There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?



please do the steps caus ei also haev to do notes on the quiz

Answer 1

Answer:

Let us label the three blue marbles b1, b2 and b3, and the five red marbles r1, r2, r3, r4 and r5.

Let marble A be the first marble taken from the bag and let marble B be the second marble taken from the bag.

In this answer, I will use the following terminology:

The identity of a mable refers to which of the 8 individual marbles it is. Thus b1 and b2 are two possible identities for marble A.

There are two possible sets of outcomes which correspond with the two marbles having different colours; those outcomes in which marble A is blue and marble B is red, and those outcomes in which marble A is red and marble B is blue.

So there are 3×5 = 15 possible outcomes in which marble A is blue and marble A is red.

e two marbles taken from the bag being different colours is 15+15 = 30.

which is 30/56 = 15/28

Step-by-step explanation: