If a card is drawn from a standard deck, what is the probability of selecting a five or a seven ?
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Answer: C. 8/52
Explanation
A standard deck contains four fives and four sevens, giving eight favorable cards out of fifty-two total options. Adding the individual probabilities of drawing a five and a seven yields eight divided by fifty-two total cards. Since a single card cannot be both a five and a seven, the events are mutually exclusive for simple addition. A standard playing card deck contains fifty-two cards divided evenly into four distinct suits of thirteen cards. Mutually exclusive events cannot occur simultaneously, allowing their individual probabilities to be added together directly. Favorable outcomes represent the specific target cards that satisfy the stated condition in the probability question.
Option 4/52 accounts for drawing only one rank, such as just the fours or fives, ignoring the other target rank. Option 1/26 is a simplified fraction equivalent to 2/52, which undercounts the eight total favorable cards available. Option 1/169 incorrectly multiplies probabilities together as if drawing two separate cards with replacement in sequence.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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