Question

Calculate the probability of selecting a heart or a face card when heart suit face cards are excluded from a standard deck of cards. Is this outcome more or less likely than selecting a heart suit face card from a standard deck of cards?

a) Probability: 1/3; More likely
b) Probability: 1/4; Less likely
c) Probability: 3/13; More likely
d) Probability: 9/13; Less likely

Answer 1

The probability of selecting a heart or a face card when heart suit face cards are excluded from a standard deck of cards is 3/13, which is more likely than selecting a heart suit face card.

Step-by-step explanation:

To calculate the probability of selecting a heart or a face card when heart suit face cards are excluded from a standard deck of cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

When heart suit face cards are excluded from the deck, we are left with three face cards in each suit (J, Q, K), which gives us a total of 12 face cards.

There are 13 hearts in a standard deck, but since heart suit face cards are excluded, we have only 9 hearts remaining.

Therefore, the probability of selecting a heart or a face card is (12 face cards + 9 hearts) / 52 cards = 21 / 52 = 3/13.

This outcome is more likely than selecting a heart suit face card, which has a probability of 9 hearts / 52 cards = 9/52.