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How many different ways can 4 people be seated in a row of 4 seats? Select the correct answer.

Test your knowledge of probability, permutations, and combinations with a set of practice questions covering various scenarios. Calculate expected values, probabilities, and number combinations.

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How many different ways can 4 people be seated in a row of 4 seats? Select the correct answer.

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  1. How many different ways can 4 people be seated in a row of 4 seats? Select the correct answer. • 24 • 16 • 256 • 20 • 12 • 252

  2. An employee ID number system consists of one letter followed by 5 digits. How many different ID numbers are possible with this system? • 2,600,000 • 26,000,000 • 1,535,274 • 100,026

  3. How many different combinations of people can be chosen as president, vice president, and secretary of a class of 31 students? Select the correct answer. • 26,970 • 961 • 27,000 • 27,001

  4. How many three-digit odd numbers can be formed using the digits 9, 4, 6, and 8 if repetition of digits is not allowed? Choose the answer from the following : • 6 • 24 • 36

  5. Find the number of distinguishable permutations of the given letters B D I MMM N Select the correct answer. • 840 • 720 • 49 • 128 • 2,520

  6. How many possibilities are there in selecting a committee of 4 members from a club of 24 members? Select the correct answer. • 10,626 • 255,024 • 331,776

  7. 1. 2. 3. 4. An experiment consists of tossing a coin 5 times. Find the probability of getting heads exactly one time. Select the correct answer. • {image} • {image} • {image} • {image}

  8. 1. 2. 3. 4. 5. A drawer contains an unorganized collection of 52 socks: 14 pairs are red, 6 pairs are white, and 6 pairs are black. If one sock is drawn randomly from the drawer, what is the probability that it is red? Select the correct answer. • {image} • {image} • {image} • {image} • {image}

  9. 1. 2. 3. 4. 5. A roulette wheel has 20 slots; two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 18. Find the probability that the ball lands in an odd-numbered slot. Select the correct answer. • {image} • {image} • {image} • {image} • {image}

  10. Jane wins $17 if a die roll shows a six, and she loses $3 otherwise. Find the expected value (or expectation) of the game. Choose the answer from the following: • $0.33 • $5.33 • $7.00

  11. A bag contains 2 silver dollars and 8 slugs. You pay 35 cents to reach into the bag and take a coin, which you get to keep. Find the expected value (or expectation) of the game. Select the correct answer. • -$0.15 • $0.15 • $0.00

  12. A slot machine has three wheels, and each wheel has 11 positions: the digits 0 to 9 and a picture of a watermelon. When a quarter is placed in the machine and the handle is pulled, the three wheels spin independently and come to rest. When three watermelons show, the payout is $5.5, otherwise, nothing is paid out. What is the expected value of this game? Select the correct answer. • -$0.246 • $0.246 • $0.004 • -$0.004

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