Directions: Find the total number of outcomes that are possible. 1. The spinner below is spun three times. " 10 , 2. A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag. possible out comes 4. Jaden is studying abroad for a semester. He can choose the first semester or second semester, then choose France Spain, Germany, Italy, or Japan. 6. A coin is tossed four times and a card is selected from a standard deck of cards. 3. Selecting a letter from the word TROPHY and a day from the month of May. 5. Creating a password with two letters followed by two one -digit numbers.

Question

Directions: Find the total number of outcomes that are possible. 1. The spinner below is spun three times. " 10 , 2. A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag. possible out comes 4. Jaden is studying abroad for a semester. He can choose the first semester or second semester, then choose France Spain, Germany, Italy, or Japan. 6. A coin is tossed four times and a card is selected from a standard deck of cards. 3. Selecting a letter from the word TROPHY and a day from the month of May. 5. Creating a password with two letters followed by two one -digit numbers.

Answer 1

To solve each of these problems, we need to calculate the number of possible outcomes for each scenario. Let's go through them one by one:1. The spinner below is spun three times. 1728 possible outcomes.Since the wheel is divided into 12 equal parts, each spin has 12 possible outcomes. When the spinner is spun three times, the number of possible outcomes is calculated by multiplying the number of outcomes for each spin:12 (first spin) * 12 (second spin) * 12 (third spin) = 1728 possible outcomes.2. A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag. 78 possible outcomes.A dice has 6 possible outcomes (1 through 6). There are 5 + 8 = 13 marbles in total. The number of possible outcomes is the product of the number of outcomes for the dice roll and the number of marbles:6 (dice roll) * 13 (marbles) = 78 possible outcomes.3. Selecting a letter from the word TROPHY and a day from the month of May.The word TROPHY has 6 unique letters. The month of May has 31 days. The number of possible outcomes is the product of the number of letters and the number of days:6 (letters) * 31 (days) = 186 possible outcomes.4. Jaden is studying abroad for a semester. He can choose the first semester or second semester, then choose France, Spain, Germany, Italy, or Japan.There are 2 choices for the semester and 5 choices for the country. The number of possible outcomes is the product of the number of semesters and the number of countries:2 (semesters) * 5 (countries) = 10 possible outcomes.5. Creating a password with two letters followed by two one-digit numbers.There are 26 possible letters for each of the two letter positions. There are 10 possible one-digit numbers (0 through 9) for each of the two number positions. The number of possible outcomes is the product of the number of letters and numbers:26 (first letter) * 26 (second letter) * 10 (first number) * 10 (second number) = 67600 possible outcomes.6. A coin is tossed four times and a card is selected from a standard deck of cards.A coin has 2 possible outcomes (heads or tails) for each toss. A standard deck of cards has 52 cards. The number of possible outcomes is the product of the number of coin toss outcomes and the number of cards:2^4 (coin tosses) * 52 (cards) = 16 * 52 = 832 possible outcomes.Now, let's extract the final answers for each scenario:1. 1728 possible outcomes.2. 78 possible outcomes.3. 186 possible outcomes.4. 10 possible outcomes.5. 67600 possible outcomes.6. 832 possible outcomes.

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