17cm \\ Calculate the Surface Area. The base area B is given. Question Help: & Message instructor Submit Question dcem At the Fall Carnival, a game is played by rolling a single four-sided, pyramid-shaped die (numbered 1, 2, 3, 4) and then spinning an equally divided spinner with the dollar amounts $1, $5, and $10. The sample space for the outcomes of playing the game is shown below. (1, $1) (2, $1) (3, $1) (4, $1) (1, $5) (2, $5) (3, $5) (4, $5) (1, $10) (2,$10) (3, $10) (4, $10) Find the probability of each event. Give each probability as a fraction in simplest form. (a) Event A = get 2 on the die (d) The amount a player wins is the product of the numbers on the die and the spinner. Event D = a player wins $10 or more in this game. PO | 94. Find the probability using a geometric shape. At the carnival, you try a game using the board below. The square has sides 1 inches and the circle has a diameter of 40 inches. What is the probability of hitting a square target? Use 3.14 for pi. (Remember to put your answer as a fraction) Question Help: &3 Message instructor Submit Question 94. Find the probability using a geometric shape. A target is shown below. The diameter of the circle is 15 cm. What is the probability you throw a dart and hit the dotted area? Use 3.14 for pi. Question Help: &3 Message instructor ubm A single die is rolled. What is the probability that the number is greater than 4 or even? Question Help: Message instructor Submit QuestionA card is randomly selected from a standard deck of cards. What is the probability that it is an Ace or a black card? You may enter a calculation for your answer. Deck of Cards - ] Question Help: & Message instructor Submit Question Leo plays a game where he draws one card from a well-shuffled standard deck of 52 cards (', He wins the game if the card he draws is a Spade or a Diamond. For this problem, let: & = Leo draws a Spade. = Leo draws a Diamond. Pwmon Question Help: &3 Message instructor rart 1 or 4 Mohamed plays a game where he draws one card from a well-shuffled standard deck of 52 cards 7. He wins the game if the card he draws is a Club or an Ace. For this problem, let: & = Mohamed draws a Club. o A = Mohamed draws a Ace. O Question Help: &3 Message instructor The probabilities of events A and B respectively are given below. P(A) =042 P(B) =0.25 Do not round answers. 1. If A and B are independent events, then a) P(A and B) C] b) P(A or B) D o P(B| A) = B d)P(B and I) :D 5)- 2. If A and B are mutually exclusive events, then a) P(A and B) = C] b) P(A or B) = C] [ e) P (E and o) P(A| B) = Question Help: [] Video [ Message instructor Submit Question You have a bag of marbles with 630 marbles in it: 130 red, 150 green, and 350 blue. You pull out 1 marble, record the color, and replace it. After you do this 100 times, the table shows the number of times each color was drawn: ' Red ' Green ' Blue ' Total 23 22 55 100 Give exact, reduced answers. a) What is the theoretical probability of drawing a blue? b) What is the experimental probability of drawing a blue? Question Help: [ Video & Message instructor Submit Question Natalie and Sergio both have a six-sided dice. The sides of their dice are displayed below: Assuming that their dice are both fair (equally likely to land on each side). Find the theoretical probability of rolling each value. Write your answers as percents correct to two decimal places. When Natalie rolls her dice 1320 times, she rolls a one 218 times, a two 444 times, and a three 658 times. Find the experimental probability of rolling each value. Based on the Law of Large Numbers, could you reasonably assume that the dice Natalie has is a fair dice (equally likely to land on each side)? O No O Yes When Sergio rolls his dice 1320 times, he rolls a one 953 times, a two 316 times, and a three 51 times. Find the experimental probability of rolling each value. Based on the Law of Large Numbers, could you reasonably assume that the dice Sergio has is a fair dice (equally likely to land on each side)? O Yes O No Question Help: [] Video [ Message instructor Lacy draws a spade from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a club. Are these events independent? Input Yes or No: l ] Determine the probability of drawing a spade and then a club without replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = { Linda draws a spade from a standard deck of 52 cards. She returns the spade to the deck, then draws a second card. Her second card is a club. Are these events independent? Input Yes or No: [ ' Determine the probability of drawing a spade and then a club with replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = \\ ' Question Help: [ Video &9 Message instructor Submit