#4 A bowl contains 5 red beads, 6 blue beads, and 3 violet beads. If 3 beads are picked at random, without replacement, from the bowl, find the probability that

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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**Probability Question: Bead Selection from a Bowl**

A bowl contains a total of 14 beads: 5 red beads, 6 blue beads, and 3 violet beads. In a scenario where 3 beads are picked at random, without replacement, from this bowl, calculate the probability of the following outcomes:

(a) The first bead is red, the second bead is blue, and the third bead is violet.

(b) All three beads are red.

(c) The first bead is blue, and the second and third beads are not blue.

(d) At least one of the beads is violet.

This exercise involves calculating probabilities in sequence and considering combinations without replacement.
Transcribed Image Text:**Probability Question: Bead Selection from a Bowl** A bowl contains a total of 14 beads: 5 red beads, 6 blue beads, and 3 violet beads. In a scenario where 3 beads are picked at random, without replacement, from this bowl, calculate the probability of the following outcomes: (a) The first bead is red, the second bead is blue, and the third bead is violet. (b) All three beads are red. (c) The first bead is blue, and the second and third beads are not blue. (d) At least one of the beads is violet. This exercise involves calculating probabilities in sequence and considering combinations without replacement.
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