Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Sagot :

sqdancefan

Answer:

  61/121

Step-by-step explanation:

With replacement, the different outcomes have probabilities ...

  P(r, r) = (5/11)(5/11) = 25/121

  P(r, b) = (5/11)(6/11) = 30/121

  P(b, r) = (6/11)(5/11) = 30/121

  P(b, b) = (6/11)(6/11) = 36/121

These outcomes are mutually exclusive, so the probability of any combination of them is the sum of their individual probabilities.

  P(x, x) = P(r, r) +P(b, b) = 25/121 +36/121 = 61/121

The probability of two the same color is 61/121.

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.