find the probabi lity of getting 3 on the 2nd olie given the Sum is 8?

Q: Find 10th term of the A.P. 1, 4, 7, 10

A: Consider the given terms of the A.P. 1 , 4 , 7 , 10 The first terms of the A.P. is, a=1 The common…

Q: a) what is the prob. that the Chosen bulb is de fective ? b) if abulb chosen is defetive , what is…

A: Let us define some events A : a bulb is from factory A. B : a bulb is from factory B. E : a bulb is…

Q: In 20 P9 how many choices are there for the second batter if the total number on the team is 20?…

A:

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: Introduction: There are 4 digits to be selected for the game. Each digit can be any one between 0…

Q: What is the probability that an 8-digit driver's license number chosen at random will not have 4 as…

A: Given Data: The number of digits in the license number is: n=8 The possible number of ways is,…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: i) All four digits are unique The probability is determined as below,…

Q: How many arrangements are there of the letters of the word CHEESECAKE under each condition?…

A: According to the given word; Total number of C = 2 Total number of H = 1 Total number of E = 4 Total…

Q: Use permutations to solve. From a cooler with 6 different kinds of soda, 4 are selected for 4…

A: nPr = n!/(n-r)!

Q: Q5. This question has two sub-questions. (a) Using the letters C, A, E,G, I, K (allowing…

A: Given information: For part (a),  The total number of letters C, A, E, G, I, K are n = 6 are…

Q: Find S, the sum of first 15 Natural numbers 15

A: We have to find sum of first 15 Natural numbers.   S15? Solution :  As we know that the sum of first…

Q: At Jake's Sushi, you can order 3 pieces of sushi, or 5 pieces of sushi. That's just how it is. Of…

A: According to the given information it is required to find the natural numbers n for which it is…

Q: . Show that n! > 3ª for n> 7.

A:

Q: in pascals triangle which row has a sum of 65536?

A: We know that the sum of every row of Pascal's triangle is twice of the last row's sum.  And it is…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

A:

Q: Suppose a standard​ six-sided die is rolled and you receive $4.50for every dot showing on the top of…

A: The probability of each number will be 1/6 In number 1, 1 dot is present In number 2, 2 dots are…

Q: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

Q: Show that for all n:  ceil(n) = -floor(-n)

A: In the given question we have to prove that ceil(n)=-floor(-n) That is…

Q: Suppose a,b,n are integers and n>0 s.t. 63a^5b^4=3575n^3, what is the smallest possible n. Explain…

A: The objective is to find the smallest value of n such that 63a5b4=3575n3.

Q: What is the 4th term in the n = 8 row of Pascal's Triangle?

A:

Q: n= 8 Using Simpsons Rule

A: Simpsons Rule: ∫abf(x) dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4f(xn-1)+f(xn).............(1) where,…

Q: How did they got n(n+1)(2n+1) / 6

A:

Q: Calculate the right hand side of the statement below for n=12 ©George Mason University 3+4+5+. + (n+…

A:

Q: 11. When the marchers in the annual Mathematics Department Parade lined up 4 abreast, there was 1…

A: let the number of Persons in department be x. according to the given Problem, x≡1(mod 4)x≡2(mod…

Q: prove that "The Sum of two odd numbers is even: using direct. Note:- 1 want the ansawer on a paper.

A: The sum of two odd numbers is even. Proof :          Properties odd and even integer.          If…

Q: Q4: Consider the 5-digit can be formed using the digits 0-9 mbers, with distinct digits (no…

A:

Q: Use mathematical induction to prove: For each natural number n, 6 divides (n3-n). I need to write a…

A:

Q: n how many ways can SISIPI be arrange?

A: In the given question, the concept of Permutation and Combination is applied. Permutation and…

Q: Suppose a standard six-sided die is rolled and you receive $3.00 for every dot showing on the top of…

A: Given Data: The amount recieve for every dot is: x=$3.00 The standard six sides die, has 1, 2, 3, 4,…

Q: Suppose there is a game in which you throw a die first and then you toss a coin. However, you will…

A: Possible outcomes from dice are {1, 2, 3, 4, 5, 6}. Possible outcomes from the toss of a coin are…

Q: (b) Give two different interpretations of the bino- mial coefficient (") for non-negative integers n…

A: First we will give two different interpretations of the binomial coefficient nk for non-negative…

Q: Find :18th term of the A.P. 2, 3/2, 5/2.

A:

Q: 1) Find absolute and relative error in writing 5/8 as a decimal rounded to the tenths.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: B2.c. How many arrangements are there of the letters ofthe word CHEESECAKE a. When repetition is…

A: The given word is 'CHEESECAKE'

Q: ner. How many different arrangements can there be?

A: Here total 8 sopranos They arrange in line

Q: Show that n! > 3ª for n > 7.

A: The given inequality is, n!>3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: k is a prime number that has a ones digit of 7 and 0 <k < 100, how many values of k are possible?

A:

Q: In a​ state's Pick 3 lottery​ game, you pay ​$1.48 to select a sequence of three digits​ (from 0 to​…

A: In this question, a plays pick 3 lotter game, you need to pay $1.48 to select a sequence of three…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A:

Q: Find the 15th term of the geometric 1,2,4, .. O 65, 536 O 8, 192 O 16, 384 O 32,768

A: Hence option (c) is correct.

Q: Find the prububility of getting be tween (31 nd a heads inlo tosser of a fain coin by usig :…

A: Solution-: Given: n=10, probability of tossing a fair coin =p=0.5 Fair means that the coin has a…

Q: n=1 BE n=2 2 n² = In (n) 1 In injen

A:

Q: 1. Jorge rolled a six-sided number cube 10 times. Eight times he got an even number. a. What is the…

A: i have solved this in step 2.

Q: How many different heptominoes (made from 7 squares) are there that have 5 squares in a column and 1…

A:

Q: is the sum of all odd numbers from 31 to 497?

A:

Q: On a tv quiz show, a contestant is asked to pick an integer at random from the first 100 consecutive…

A: Solution

Q: Please show the inductive base step, the inductive hypothesis, and the inductive step. Prove by…

A: we have to prove that                           n2&gt;n+1  for integers n≥2 we have to prove by…

Q: Which of the following statements are true (as n gets large or n → 0)?

A: