there are 2 identical bottles. one bottle contains 2 red balls. a bottle is selected at random and a single ball is drawn
what is thwe probability that the bll is red?
Since you didn't mention any other colors in the bottles, there's a 100% chance that the ball that is drawn is red.
case 1 :
both bottle give red balls
1/2 * 1/2
= 1/4
case 2 :
one bottle gives red ball
1/2 * 1
=1/2
sorry because of misunderstood of the question.
The above answer is wrong
ok....all right
To find the probability of drawing a red ball, we need to consider the possible outcomes.
Let's assign labels to the bottles to differentiate them. We will call one bottle "Bottle A" and the other "Bottle B". Both bottles are identical in appearance, so the label is the only way to distinguish them.
We are given that Bottle A contains 2 red balls, while Bottle B contains an unknown number of balls. Since we are selecting a bottle at random, the probability of choosing Bottle A is 1/2 and the probability of choosing Bottle B is also 1/2.
If we select Bottle A, the probability of drawing a red ball is 2/2, since all the balls in that bottle are red.
If we select Bottle B, we do not know how many red balls are inside because the problem statement does not provide that information. Hence, we cannot calculate the probability of drawing a red ball from Bottle B.
To find the overall probability of drawing a red ball, we need to consider both possibilities (selecting Bottle A and selecting Bottle B) and weigh them according to their probabilities.
The probability of selecting Bottle A and drawing a red ball is (1/2) * (2/2) = 1/2.
The probability of selecting Bottle B and drawing a red ball is unknown since we do not know the number of red balls.
Therefore, the overall probability of drawing a red ball is 1/2, assuming an equal likelihood of selecting each bottle.