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Which answer correctly describes the probability of drawing a card that is black and a diamond and flipping a coin that lands on heads?

Responses

certain
certain

even
even

likely
likely

unlikely
unlikely

impossible

1 answer

To analyze the scenario:

  1. Drawing a Card: A standard deck of cards has 52 cards, with 26 being red (hearts and diamonds) and 26 being black (spades and clubs). A diamond is a red card, so it is impossible to draw a card that is both black and a diamond at the same time.

  2. Flipping a Coin: The probability of a fair coin landing on heads is 1/2 (50%).

Now combining these two events:

  • The event of drawing a card that is both black and a diamond is impossible.
  • The event of flipping a coin that lands on heads is likely (but not certain).

However, since one of the events—the card draw—is impossible, the overall probability of the combined event (drawing a black and diamond card and flipping heads) is also impossible.

Thus, the answer is impossible.