QuestionE-mail : itc@bizeit.edu
The data given below were taken from a study about the preferred payment method (Cash or Credit card). The table below indicates the numbers of people in the study according to their gender and preferred payment method. \begin{tabular}{ccc} & Cash & Credit Card \\ \hline Men & 141 & 240 \\ Women & 206 & 413 \\ \hline \end{tabular}
If a person is selected at random, what is the probability that the person is a man or prefers the cash payment method?
Select one: a. 0.1410 b. 0.2400 c. 1.0000 d. 0.7940 e. 0.2060 f. 0.5870 g. 0.4130

Studdy Solution
استخدم صيغة احتمال اتحاد حدثين:
$$P(\text{Man or Cash}) = P(\text{Man}) + P(\text{Cash}) - P(\text{Man and Cash})$$
حيث:
$$P(\text{Man and Cash}) = \frac{\text{عدد الرجال الذين يفضلون الدفع نقدًا}}{\text{إجمالي الأشخاص}} = \frac{141}{1000}$$
لذا:
$$P(\text{Man or Cash}) = \frac{381}{1000} + \frac{347}{1000} - \frac{141}{1000}$$
$$P(\text{Man or Cash}) = \frac{587}{1000}$$
الاحتمال هو:
$$\boxed{0.5870}$$