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If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?
  • a)
    4/13
  • b)
    5/13
  • c)
    0.25
  • d)
    0.20
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a card is drawn at random from a pack of 52 cards, what is the chan...
Solution:

We need to find the probability of getting a Spade or an Ace. There are 13 cards of each suit in a deck of 52 cards, including 4 Aces per deck.

Step 1: Find the number of Spades in a deck of 52 cards.

There are 13 Spades in a deck of 52 cards.

Step 2: Find the number of Aces in a deck of 52 cards.

There are 4 Aces in a deck of 52 cards.

Step 3: Find the number of cards that are both Spades and Aces.

There is only one card that is both a Spade and an Ace, which is the Ace of Spades.

Step 4: Find the total number of cards that are either Spades or Aces.

There are 13 Spades + 4 Aces – 1 Ace of Spades = 16 cards that are either Spades or Aces.

Step 5: Find the probability of getting a Spade or an Ace.

Probability = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = 52

Number of favorable outcomes = 16

Probability = 16/52 = 4/13

Therefore, the probability of getting a Spade or an Ace is 4/13.

Answer: a) 4/13
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If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?a)4/13b)5/13c)0.25d)0.20Correct answer is option 'A'. Can you explain this answer?
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