A bag contains green,yellow and black marbles.A marble is chosen at random.
The probability of choosing a yellow marble or a green marble is 0.68.
What is the probability of choosing:
a)a green marble b)a black marble c)a red marble?
+Also the probability of choosing a yellow marble is 0.26
well, if P(y|g) = 0.68, then P(b) = 0.32
P(y|g) = P(y)+P(g), so P(g) = 0.68-0.26 = 0.42
as for P(red), who knows? You said the bag had green, yellow, and black marbles. P(r) = 0?
To find the probabilities, we need to use the information given, which states that the probability of choosing a yellow marble or a green marble is 0.68.
Let's first find the probability of choosing a green marble:
a) Probability of choosing a green marble:
Let's assume that the probability of choosing a green marble is G. Therefore, the probability of choosing a yellow marble is 0.68 - G (as it is the remainder of the total probability).
Since the bag contains green, yellow, and black marbles, the total number of marbles is 3.
The probability of choosing a green marble can be calculated using the formula:
P(green) = Number of green marbles / Total number of marbles
P(green) = G / 3
Similarly, the probability of choosing a yellow marble can be calculated using the same formula:
P(yellow) = Number of yellow marbles / Total number of marbles
P(yellow) = (0.68 - G) / 3
Now, since the problem states that the probability of choosing a green or yellow marble is 0.68, we can write the equation:
P(green) + P(yellow) = 0.68
G / 3 + (0.68 - G) / 3 = 0.68
By solving this equation, we can determine the probability of choosing a green marble.
b) Probability of choosing a black marble:
The problem didn't provide any specific information about the probability of choosing a black marble. Therefore, without additional information, we cannot calculate the exact probability of choosing a black marble.
c) Probability of choosing a red marble:
The problem states that the bag contains only green, yellow, and black marbles. Since there is no mention of red marbles, we can assume that there are no red marbles in the bag. Therefore, the probability of choosing a red marble would be zero (0).
To fully answer the question, we need additional information or clarification regarding the black marbles and whether red marbles exist in the bag.