Given distribution of color beads: blue, black, yellow, white and brown with frequencies 1, 2, 3, 4, and 5 respectively. Find the probability that a bead pi...
Given distribution of color beads: blue, black, yellow, white and brown with frequencies 1, 2, 3, 4, and 5 respectively. Find the probability that a bead picked at random will be blue or white.
Answer Details
There are a total of 1+2+3+4+5 = 15 beads.
The probability of picking a blue bead is 1/15, since there is only one blue bead out of the total of 15 beads.
The probability of picking a white bead is 4/15, since there are 4 white beads out of the total of 15 beads.
To find the probability of picking a blue or white bead, we add the probabilities of picking a blue bead and a white bead:
P(blue or white) = P(blue) + P(white)
P(blue or white) = 1/15 + 4/15
P(blue or white) = 5/15
P(blue or white) = 1/3
Therefore, the probability of picking a blue or white bead is 1/3.