Question

You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a tail and an even number on the die and a card less than 5 (assume the ace is equal to 1) from the deck?

1) 0.192
2) 0.231
3) 0.308
4) 0.385

Answer 1

The probability of getting a tail and an even number on the die and a card less than 5 from the deck is approximately 0.077.

Step-by-step explanation:

To find the probability of getting a tail and an even number on the die and a card less than 5 from the deck, we need to determine the probability of each event happening and then multiply them together.

The probability of getting a tail when tossing a fair coin is 1/2.

The probability of rolling an even number on a fair die is 1/2, since there are three even numbers out of six possible outcomes.

The probability of drawing a card less than 5 from a standard deck of 52 cards is 4/13, since there are four cards less than 5 (2, 3, 4, and ace) out of 13 possible outcomes.

To find the overall probability, we multiply these individual probabilities together:

Probability = (1/2) * (1/2) * (4/13) = 1/13 ≈ 0.077.

Therefore, the probability of getting a tail and an even number on the die and a card less than 5 from the deck is approximately 0.077.