a bag contains 2 green, 4 blue, and 3 yellow disks. alana selects 4 disks from the bag at random, one at a time, without replacing them. what is the probability that she selects all 4 blue disks?

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Now, according to the question;

There is a total of 2 green disks.

There is a total of 4 blue disks.

There is a total of 3 yellow disks.

The formula for selecting the combination of 4 blue disks are

Probability = (combination for 4 blue)/ Total combination for 9.

The combination is given by the relation;

ⁿCₓ = n!/{x!(n-x)!}

The combination for getting 4 blues is-

n is the total blue disks = 9

x is the selected blue disks = 4

⁹C₄ = 9!/{4!(9-4)!} = 126

The required probability = 4/126

The required probability = 0.0317

Thus, the probability that she selects all 4 blue disks is 0.0317.

Learn more about the probability here:

brainly.com/question/11234923

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