6 numbers are chosen in order from the numbers 1, 2, ..., 49 a. Find the...
Problem 1 (35 points): Two numbers are chosen at random and simultaneously from among the numbers 1 to 4 without replacement. Let A,产(1,2,3,41, be the event that the first number is . 1. Find the probability of the event B that the second number chosen is 3. 2. What is the probability that the first number is 1 given that the second number is 3?
it is a simple question i will like answer 5) Three cards are randomly drawn, with replacement, from a standard deck of 52 cards. Find the probability that the cards chosen, in order, are a queen, the 3 of diamonds, and a diamond. 5) A) 3500 B) 2704 12 졔 C) D)5525 E) none of the above 6) If a pair of dice are rolled, the probability that the sum of the numbers of dots appearing is 5 is C)...
In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has: i.) All four digits in exact order. ii.) Two specified, consecutive digits in exact order (the first two digits, the middle two digits, or the last two digits). iii.) One specified digit (the first, second, third, or fourth digit). iv.) Three digits in exact order.
Suppose that a person plays a game in which he draws a ball from a box of 6 balls numbered 1 through 6. He then puts he ball back and continues to draw a ball (with replacement) until he draws another number which is equal or higher than the first draw. Let X and Y denote the number drawn in the first and last try. respectively. a) Find the probability distribution of X (The first draw) b) Find the probability...
Suppose that 5 of the numbers 1, 2, . . . , 14 are chosen. Find the probability that 9 is the third smallest value chosen.
Three cards are drawn from a deck without replacement. Find the probability the first card is a club, the second card is a diamond and the third card is red card.
2. In the Texas Pick-6, six numbers are chosen (without repetition) from 1 through 54 and the order does not matter. You win the grand prize if you get all six numbers right. (a.) How many possible tickets are there? What is the probability of winning the grand prize? (b.) You win $1,595 if you pick 5 out of 6 correct numbers. What is the probability of winning $1,5952 (c.) You lose if you get fewer than 3 numbers correct....
14. A box contains 4 red (numbers from 1 to 4) and 6 blue cards (numbered from 5 to 10). A card is chosen randomly. What is the probability that the card is red given that it is even numbered? a 1/2 b. 1/4 c. 3/4 d. 3/5 e. 2/5 f. None of the above 15. A card is drawn from a well shuffled deck and a second card is drawn without replacement. If the first card is a heart,...
Eight draws are made at random with replacement from the box with numbers: 1,2,3,3,3. Find the probability of drawing exactly two 3's
question1: A company randomly generates 5-digit passwords for its clients. Each contains 3 unique numbers chosen from {0, 1, ..., 5} & 2 unique letters from {A, ..., G}. Determine the probability that Sally receives a password containing the letters B & E (in either order) & the numbers 2, 4, 5 (in any order). question2: With probability = .25 , two switches are selected without replacement from box A, & with probability = .75 , two switches are selected...