Question

you want to obtain cash by using an atm, but its dark and you cant see your card when you insert it. the card must be inserted with the front side up and the printing configured so that the beginning of your name enters first. complete parts (a) through (c).
a. what is the probability of selecting a random position and inserting the card with the result that the card is inserted correctly? select the correct choice below and, if necessary, fill in the answer box to complete your choice.
○ a. the probability is
(type an integer or a simplified fraction.)
○ b. this is a trick question. there is not enough information given to determine the answer

Explanation:

Step1: Determine total number of possible positions

A card has 2 sides (front - back) and 2 orientations (beginning of name first or last). So there are $2\times2 = 4$ possible ways to insert the card.

Step2: Determine number of correct positions

There is only 1 correct way to insert the card (front - side up, beginning of name first).

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is 1 and the total number of outcomes is 4. So $P = \frac{1}{4}$.

Answer:

A. The probability is $\frac{1}{4}$