Answered

Whether you're a student or a professional, IDNLearn.com has answers for everyone. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

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 :

Sqdancefanidn

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.

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.