Question

If a coin is tossed 2 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible? combination probability

Answer 1

The total number of different outcomes for tossing a coin 2 times, rolling a die 4 times, and drawing 3 cards from a deck without replacement is 114,048,000.

Step-by-step explanation:

If a coin is tossed 2 times, there are 22 = 4 possible outcomes. If a standard six-sided die is rolled 4 times, there are 64 = 1296 possible outcomes.

And if a group of three cards are drawn from a standard deck of 52 cards without replacement, there are 52C3 = 22,100 possible outcomes.

To find the total number of different outcomes, we multiply the number of outcomes for each event: 4 * 1296 * 22,100 = 114,048,000 different outcomes.