Question

In a survey on consumer spending methods conducted in a certain year, the following results were obtained: $$ \begin{array}{lccccc} \hline & & \text { Credit } & \text { Debit/ATM } & \\ \text { Payment Method } & \text { Checks } & \text { Cash } & \text { cards } & \text { cards } & \text { Other } \\ \hline \text { Transactions }(\%) & 37 & 14 & 25 & 15 & 9 \\ \hline \end{array} $$ If a transaction tracked in this survey is selected at random, what is the probability that the transaction was paid for: a. With a credit card or with a debit/ATM card? b. With cash or some method other than with a check, a credit card, or a debit/ATM card?

          In a survey on consumer spending methods conducted in a certain year, the following results were obtained:
$$
\begin{array}{lccccc}
\hline & & \text { Credit } & \text { Debit/ATM } & \\
\text { Payment Method } & \text { Checks } & \text { Cash } & \text { cards } & \text { cards } & \text { Other } \\
\hline \text { Transactions }(\%) & 37 & 14 & 25 & 15 & 9 \\
\hline
\end{array}
$$
If a transaction tracked in this survey is selected at random, what is the probability that the transaction was paid for:
a. With a credit card or with a debit/ATM card?
b. With cash or some method other than with a check, a credit card, or a debit/ATM card?
        
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Added by Nathan G.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Transcript

-
00:01 In this question, we are given a survey of the payment methods and the percentage of people using these payment methods.
00:12 For checks, for checks, 37 % of people use checks, 25 % people use credit cards, 14 % use cash, 15 % use debit atm cards, and 9 % use others.
00:29 The transaction is randomly selected.
00:32 Part a, you want to find probability the transaction was paid with a credit card or with a debit atm card.
00:43 It's probability the transaction was paid with a credit card or, now since these two are mutually exclusive, all will be plus and is times, so there will be a plus probability of using the debit atm card...
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