Which answer correctly describes the probability of rolling a die that lands on a number less than

and drawing a card that is red or black?

Responses

even
even

certain
certain

likely
likely

impossible
impossible

unlikely
unlikely

1 answer

To find the correct answer, we need to analyze the two parts of the scenario: rolling a die and drawing a card.

  1. Rolling a die: A standard die has six faces numbered 1 through 6. The numbers less than 3 on a die are 1 and 2. Therefore, the probability of rolling a die and landing on a number less than 3 is 2 out of 6, which simplifies to 1/3.

  2. Drawing a card: In a standard deck of playing cards, there are 52 cards in total, consisting of 26 red cards (hearts and diamonds) and 26 black cards (clubs and spades). Thus, when you draw a card, the event of drawing a card that is either red or black is certain because all cards in the deck are either red or black.

Now let's analyze the combination of these two events:

  • The first event (rolling less than 3) has a probability of 1/3.
  • The second event (drawing a card that is red or black) has a probability of 1 (certain).

Since one part of the scenario (drawing a card) is certain, we look at how we can describe the overall probability of the combined scenario.

In simple terms, rolling a number less than 3 is "unlikely" (since it's only a 1 in 3 chance), but the event of drawing a card is "certain" (since you will always draw either a red or black card regardless of the die roll).

The overall probability characteristics for the two actions don't align perfectly, but since the event of drawing a card will always happen, it doesn't change the outcome to make the rolling event "more likely."

In this case, the best response among the provided options would be unlikely for the rolling part combined with the certainty of the drawing part.

Thus, the correct answer is: unlikely (for the overall probability aspect when considered together).