A coin is flipped and a card is drawn from a standard deck of cards. What is the probability of coin landing on tails and drawing an ace?



Answer :

Answer:

To solve this problem, we need to find the probability of the coin landing on tails and the probability of drawing an ace from a standard deck of cards, and then multiply them together.

Given information:

- A coin is flipped.

- A card is drawn from a standard deck of cards.

Step 1: Find the probability of the coin landing on tails.

Since a coin has two possible outcomes (heads or tails), and each outcome is equally likely, the probability of the coin landing on tails is 1/2 or 0.5.

Step 2: Find the probability of drawing an ace from a standard deck of cards.

A standard deck of cards has 52 cards, and there are 4 aces in the deck.

Probability of drawing an ace = Number of aces / Total number of cards = 4/52 = 1/13 or approximately 0.0769.

Step 3: Calculate the probability of the coin landing on tails and drawing an ace.

Probability of coin landing on tails and drawing an ace = Probability of coin landing on tails × Probability of drawing an ace

Probability of coin landing on tails and drawing an ace = 0.5 × 0.0769 = 0.03845 or approximately 3.845%.

Therefore, the probability of the coin landing on tails and drawing an ace is approximately 3.845%.

Answer:

Step-by-step explanation:

Probability of coin landing on tails: 1/2. Probability of selecting an Ace given tails: 1/10