a bag contains 10 black tiles and 10 white tiles. caden will randomly select on tile from the bag. what’s the probability caden will select a black tile? describe this probability as impossible, unlikely, neither likely nor unlikely, likely, or certain.

The probability of picking a black tile from the bag is 1/2, so we can say that the event of picking a black tile by Caden in the experiment of picking a tile from the bag containing 10 black and 10 white tiles is neither likely nor unlikely.

What is the probability of an event in an experiment?

The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes in the experiment. The probability of event A is given as, P(A) = n/S, where n is the number of favorable outcomes to event A, and S is the total number of outcomes in the experiment.

An event A is:

impossible when P(A) = 0,
unlikely when P(A) is close to 0,
neither likely nor unlikely when P(A) is close to 1/2,
likely when P(A) is close to 1, and
certain when P(A) = 1.

How to solve the given question?

In the question, we are given a bag containing 10 black and 10 white tiles. Caden is doing an experiment of picking a random tile from the bag. We are asked to determine the probability that Caden will pick a black tile.

Let the event of picking a black tile by Caden be A.

The number of outcomes favorable to event A (n) = 10 (number of black tiles).

The total number of outcomes in the experiment of picking a tile from the bag (S) = 20 (total number of tiles in the bag).

∴ The probability of picking a black tile can be given as:

P(A) = n/S = 10/20 = 1/2.

∴ The probability of picking a black tile from the bag is 1/2, so we can say that the event of picking a black tile by Caden in the experiment of picking a tile from the bag containing 10 black and 10 white tiles is neither likely nor unlikely.

Learn more about the Probability of an event at

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