use the probability of the union of two events, independent, or dependent events in solving the problems below. A die is tossed twice. Find the probability of getting a 2 or 3 on the first toss and a 4, 5, or 6 on the second toss?

Q: We roll a pair of dice four times. Find the probability that a total of five is rolled each time.

A: roll a pair of dice four times  P(total of five each times) = ?

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: 1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: Let us denote the event of playing chess by C, the event of playing football by F and the event of…

Q: Determine if each event is independent or dependent.  Then find the probability.   A green die and…

A: roll a green die and a red die .  each die has outcome  1 to 6.  P(4 on green die and 5 on red die)…

Q: You have a 4 sided die (with numbers 1,2,3, and 4) that you are going to throw. You are told that…

A: Here the given information is You have a 4 sided die (with numbers 1,2,3, and 4) that you are going…

Q: You roll two dice. What is the probability that the first one is a 4 or that the sum equals 9?

A:

Q: You roll a​ six-sided die. What is the probability of rolling a 6 or a number greater than 3? What…

A: We want to find the probability

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

A:

Q: We roll a pair of dice three times. Find the probability that a total of five is rolled each time.

A: If we roll a pair of dice one time then the possible outcomes of gettingsum as 5…

Q: In the game of roulette, a player can place a $9 bet on the number 2 and have a 1/38 probability of…

A: Expected value: The expected value of a random variable is the sum of the possible values that the…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A: We can roll 1 in only 1 way.For a die there are 6 possible outcomes.So, the probability of rolling a…

Q: 1. Find the means and standard deviations for the fo a). Bernoulli; b) binomial B[n;p]; c)…

A: Hi! Thank you for the question. AS per the honor code, we are allowed to answer the three sub-parts…

Q: You have four toonies and three loonies in your pocket. You pull one coin out and then pull out…

A: We have 4 toonies and 3 loonies  Total coins = 7

Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: A game show contestant must randomly select a door.One door doubles her money while the other three…

A: The number of doors doubles her money is 1.

Q: John rolled a pair of dice. What is the probability that they would sum to 6?

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: When rolling a pair of dice, find the probability of getting a sum of 5

A: Given : Sample space of rolling a pair of dice : S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: If a family has three children, find the probability that exactly one of the three children is a…

A:

Q: You roll a fair die twice. What is the probability of getting a 2 or a 5 on the first throw and a 1…

A:

Q: You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

A: Probability is a chance of getting a possible outcome of any random event.

Q: An opaque bag contains two types of marbles: blue and red. We draw two marbles from the bag without…

A: Answer:0.21 Explanation:The probability of getting a blue marble in the first draw is 64/138. Now, a…

Q: flip a coin three times.what is the probability of geting at least two heads

A: Let us denote H=head and T=tail So the possible outcomes are for three tosses= HHH, HHT, HTH, HTT,…

Q: rolled and the numbers are noted. Find the probability that the sum of the numbers is 4 o

A: Two dice are rolled. The numbers are noted.

Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: Given,Number of freshmen player, n(freshmen)= 13Number of sophomores player, n(sophomores) =…

Q: Flip three fair coins. Let the number of heads be the number of dice we roll. If the numbers on the…

A: A die has 6 faces {1,2,3,4,5,6} .If a die a rolled then the sample points for 5 1 time then  the…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: Suppose that in a particular game two dice are tossed. If the two dice sum to nine or eleven, the…

A: Total number of possible outcomes while tossing two coins =36 Total possible events for sum to nine…

Q: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is…

A: We have  to find the probability of getting two numbers whose product is even

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Here we have to find probability that Emily gets a sum of 8 or at least one of the dice shows a 3…

Q: Suppose that you have 13 coins: 6 dimes, 5 quarters, and 2 nickels. Two coins are selected at…

A: The probability is the equal chance of occurrence of an observation that can involve in the sample.…