A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below
Colour= red green brown yellow
Probability = 6x 2x x 4x
Find the probability of selecting a red marble
A bag contains only red, green, brown and yellow marbles.
The probabilities of selecting each colour are shown below.
The probability of choosing a red marble is the same as choosing a yellow marble.
Colour Red Green Brown Yellow
Probability 0.4 0.22
Find the probability of selecting a brown or yellow marble.
To find the probability of selecting a red marble, we need to know the value of x. Once we have that value, we can substitute it into the probability equation for the red color and calculate the probability.
Given that the probability of selecting a red marble is 6x, we can set up the equation:
6x = Probability of selecting a red marble
To find the value of x, we need more information.
To find the probability of selecting a red marble, we need to determine the value of x. The total probability of selecting any marble must be equal to 1.
So, we can sum up the probabilities of selecting each color and set it equal to 1:
6x + 2x + x + 4x = 1
Combining like terms:
13x = 1
Now, we can solve for x by dividing both sides of the equation by 13:
x = 1/13
Now that we know the value of x, we can substitute it into the probability expression for selecting a red marble:
Probability of selecting a red marble = 6x = 6 * (1/13) = 6/13
Therefore, the probability of selecting a red marble is 6/13.
well, the probabilities add to 1, so
13x = 1
P(red) = 6/13