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Julian owns a small business selling bagels. He knows that in the last week 57 customers paid cash, 12 customers used a debit card, and 70 customers used a credit card.

Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.

Respuesta :

CintiaSalazar

Considering the definition of probability, the probability that the next customer will pay with a debit card is [tex]\frac{12}{139}[/tex].

Definition of probability

Probability is the greater or lesser chance that a given event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases.

[tex]P(A)=\frac{number of favorable events}{ total number of possible events}[/tex]

The probability of event A can only be a number between 0 and 1; although it can also be written as a percentage.

Probability that the next customer pay with a debit card

In this case, you know:

  • Total number of customers = 57 +12 +70= 139 (total number of possible cases)
  • The number of customers that used a debit card = 12 (number of favorable cases)

Replacing in the definition of probability:

[tex]P(A)=\frac{12}{ 139}[/tex]

Finally, the probability that the next customer will pay with a debit card is [tex]\frac{12}{139}[/tex].

Learn more about probability:

brainly.com/question/3283947

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