The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. E Click the icon to view the table. (a) The student is male or received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.) Table Degrees Outside of Field Degrees in Field 175,047 Total Males 583,308 758,355 Females 163,499 811,430 974,929 Total 338,546 1,394,738 1,733,284 Print Done

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The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below.

(a) The student is male or received a degree in the field.

The probability is [ ].  
(Type an integer or a decimal. Round to three decimal places as needed.)

**Table:**

|                | Degrees in Field | Degrees Outside of Field | Total    |
|----------------|------------------|-------------------------|----------|
| Males          | 175,047          | 583,308                 | 758,355  |
| Females        | 163,499          | 811,430                 | 974,929  |
| Total          | 338,546          | 1,394,738               | 1,733,284| 

**Explanation of the Table:**

- The table categorizes students by gender (males and females) and by whether they received degrees in a specific field or outside the field.
- For males:
  - 175,047 received degrees in the field.
  - 583,308 received degrees outside the field.
  - Total male graduates: 758,355.
- For females:
  - 163,499 received degrees in the field.
  - 811,430 received degrees outside the field.
  - Total female graduates: 974,929.
- Overall totals:
  - 338,546 received degrees in the field.
  - 1,394,738 received degrees outside the field.
  - Total graduates: 1,733,284.

The table helps in calculating probabilities related to gender and the field of study.
Transcribed Image Text:The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. (a) The student is male or received a degree in the field. The probability is [ ]. (Type an integer or a decimal. Round to three decimal places as needed.) **Table:** | | Degrees in Field | Degrees Outside of Field | Total | |----------------|------------------|-------------------------|----------| | Males | 175,047 | 583,308 | 758,355 | | Females | 163,499 | 811,430 | 974,929 | | Total | 338,546 | 1,394,738 | 1,733,284| **Explanation of the Table:** - The table categorizes students by gender (males and females) and by whether they received degrees in a specific field or outside the field. - For males: - 175,047 received degrees in the field. - 583,308 received degrees outside the field. - Total male graduates: 758,355. - For females: - 163,499 received degrees in the field. - 811,430 received degrees outside the field. - Total female graduates: 974,929. - Overall totals: - 338,546 received degrees in the field. - 1,394,738 received degrees outside the field. - Total graduates: 1,733,284. The table helps in calculating probabilities related to gender and the field of study.
A standard deck of cards contains 52 cards. One card is selected from the deck.

(a) Compute the probability of randomly selecting a club or diamond.

(b) Compute the probability of randomly selecting a club or diamond or spade.

(c) Compute the probability of randomly selecting a three or spade.
Transcribed Image Text:A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a club or diamond. (b) Compute the probability of randomly selecting a club or diamond or spade. (c) Compute the probability of randomly selecting a three or spade.
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