Rashaad owns a small business selling used books. He knows that in the last week 13 customers paid cash, 50 customers used a debit card, and 53 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 :

Answer:

25/58

Step-by-step explanation: Ok, your step one should be to add all the previous customer values together to see what the total pool of values is. 13+50+53=116, this becomes your denominator. Then, you see that out of these 116 customers in the past week, 50 used a debit card. So based on this data, we can assume that 50 out of every 116 customers will use a debit card. The fraction is thus 50/116. Then it needs to be simplified. Divide the numerator and denominator by 2, and BAM 25/58 is your final answer.

Probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes for a given event."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Given,

Number of customers paid through cash = 13

Number of customers paid through debit card = 50

Number of customers paid through credit card = 53

Total number of customers = 13 + 50 + 53

                                             = 116

Substitute the value in the formula we get,

Required probability =  (50 / 116)

                                   = (25 / 58) (simplest fraction form)

Hence, probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).

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