Starlinechill12
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The number 1-50 are placed in a bag. What is the probability of selecting:

A) a number greater than 50______
B) multiple of 5________
C) a prime number _________
D) a composite number_______

Sagot :

Corbinpryor

A: 0

B: 10/50

C: 15/50

D: 34/50

Answers:

  • A)  0
  • B)  1/5 = 0.2
  • C) 3/10 = 0.3
  • D) 17/25 = 0.68

Nearly all of those answers involve a fraction form and an equivalent decimal form.

===========================================

Work Shown:

Part A

The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0

----------------------------

Part B

List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}

Note how 50/5 = 10, which shows there are 10 multiples listed above.

We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2

----------------------------

Part C

The prime numbers between 1 and 50 are:

{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}

There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3

----------------------------

Part D

There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.

We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.