54. A bag contains 80 colored tokens. Of all
the tokens in the bag, 25 are black and
5
16 are red.
a. Find, in percent form, the
probability of choosing a black
token.
b. Find, in percent form, the
probability of choosing a red
token.

Respuesta :

The probability of choosing a black token from the bag is 31.25% and the probability of choosing a red token from the bag is also 31.25%.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A bag contains 80 colored tokens. Of all the tokens in the bag, 25 are black and 5/16 are red.

  • a. In percent form, the probability of choosing a black token.

There are total tokens are 80 in which black token are 25 black tokens. Thus, the probability of choosing black token is,

[tex]P=\dfrac{25}{80}\\P=0.3125\\P=31.25\%[/tex]

  • b.In percent form, the probability of choosing a red token.

There are total 5/16 tokens in bag. Thus, the number of red tokens in bag is,

[tex]n=\dfrac{5}{16}\times80\\n=25[/tex]

Thus, the probability of choosing red token is,

[tex]P=\dfrac{25}{80}\\P=0.3125\\P=31.25\%[/tex]

Thus, the probability of choosing a black token from the bag is 31.25% and the probability of choosing a red token from the bag is also 31.25%.

Learn more about the probability here;

https://brainly.com/question/24756209

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