lillian owns a small business selling ice - cream. she knows that in the last week 12 customers paid cash…

lillian owns a small business selling ice - cream. she knows that in the last week 12 customers paid cash, 28 customers used a debit card, and 42 customers used a credit card. based on these results, express the probability that the next customer will pay with something other than a debit card as a fraction in simplest form.

lillian owns a small business selling ice - cream. she knows that in the last week 12 customers paid cash, 28 customers used a debit card, and 42 customers used a credit card. based on these results, express the probability that the next customer will pay with something other than a debit card as a fraction in simplest form.

Answer

Explanation:

Step1: Calcular el número total de clientes

Sumamos el número de clientes que pagaron de diferentes maneras: $12 + 28+42=82$ clientes.

Step2: Calcular el número de clientes que no pagaron con débito

Sumamos los clientes que pagaron en efectivo y con crédito: $12 + 42 = 54$ clientes.

Step3: Calcular la probabilidad

La probabilidad $P$ de que el siguiente cliente no pague con débito es el número de clientes que no pagaron con débito dividido entre el número total de clientes. Entonces $P=\frac{54}{82}=\frac{27}{41}$.

Answer:

$\frac{27}{41}$