1.Suppose you win blackjack 47% of the time. What is the probability that you lose 3 games in a row and win on the 4th game? a.0.07 b.0.06 c.0.132 d.0.12
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1.Suppose you win blackjack 47% of the time. What is the probability that you lose 3 games in a row and win on the 4th game?
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- A game has three outcomes. The probability of a win is 0.4, the probability of tie is 0.5, and the probability of a loss is 0.1. What is the probability of not winning in a single play of the game? O A. 0.1 O B. 0.33 O C. 0.6 OD. 05A statistics teacher gives a 10-question multiple-choice pop quiz with five answer choices per problem. Brandon is not prepared and has to guess the answer for each of the 10 questions. The teacher explains that students will receive a free homework pass if they answer at least five questions correctly. What is the probability that Brandon will earn a free homework pass? A. 0.006 B. 0.026 C. 0.033 D. 0.967 E. 0.994Suppose that you toss a fair coin three times. What is the probability that you will get a head three times? Select one: a. 0.125 O b. 0.25 O c. 0.5 O d. 0
- 5B. John packs four t shirts for a trip to the beach. If he owns nine t shirts, four of which are black, and he randomly picks which four to pack, what is the probability that he packs the four black ones?You are playing Blackjack, and you have a 3, a 4, and a Q. Dealer has an Ace. What is the probability that the dealer wins with their second card if you decide to stand? a. 10/16 b. 8/16 c. 7/16 d. 9/16 e. None of the other answers is correct.Now you play toss-a-coin. If the coin comes up Heads, you win. If it comes up Tails, your friend wins.What is the probability that you win 4 games out of 10 now? This is a numerical question - give the answer in percent, and round to four digits after the decimal point
- A gambler uses theory to calculate the probability of winning a card game and gets P(winning) = 0.10. Which option best describes the meaning of this probability? A. He will win 10 times B. In the long run he will win approximately 10% of the time C. He will win on every 10th play D. He is guaranteed to win exactly 10% of the timeActivity #4: PROBABILITY Read and analyze the problems, show your solution, and box the answer. 1. What would be the probability of a. picking a black card at random from a standard deck of 52 cards? b. picking a face card (i.e. a king, queen, or jack)? c. not picking a face card? 2. What is the probability of rolling, on a fair dice: a. a 3? b. an even number? c. zero? d. a number greater than 4? e. a number lying between 0 and 72 f. a multiple of 3 given that an even number was drawn? 3. A standard deck of playing cards is well shuffled and from it, you are given two cards. You can have 0, 1, or 2 aces: three possibilities altogether. So, the probability that you have two aces is equal to 1/3. What is flawed about this argument? 4. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and this happens up to the 10th card. You start thinking, "the next one will likely be red!"…Two fair dice are rolled. Event A = {the sum on the two dice is less than seven} Event B = {the two dice show the same number} Event C = {the numbers on the two dice differ by four} i. Find the probability of event A or event B occurring. ii. Find the probability of event A and event C occurring.
- Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b. What is the probability of losing a game? Your answer is Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer isRodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?You have a box full of objects (several thousand). One half of the objects are cubes, one quarter of the objects are spheres, and one quarter of the objects are pyramids. You draw two objects out of the box. What is the probability that the first object is a cube and the second object is a pyramid? Group of answer choices A. 1/8 B. 1/4 C. 1/2 D. 1/16
