Question

A bag contains 5 red marbles and 10 white marbles. Two marbles are drawn in succession WITHOUT REPLACEMENT . Find the probabilities of the following events: 1. The first marble drawn is red and the second is white.

Answer 1

The probability of drawing a red marble first and then a white marble is 1/3.

Step-by-step explanation:

To find the probability of drawing a red marble first and then a white marble, we need to determine the total number of ways these events can occur and divide it by the total number of possible outcomes.

First, the total number of marbles in the bag is 15 (5 red + 10 white). For the first draw, there are 5 red marbles out of 15, so the probability of drawing a red marble is 5/15.

After the first draw, there are 4 red marbles remaining and a total of 14 marbles left in the bag. So, for the second draw, the probability of drawing a white marble is 10/14.

To find the probability of both events occurring, we multiply the probabilities of each event: (5/15) * (10/14) = 1/3.