Answered

IDNLearn.com offers a unique blend of expert answers and community-driven insights. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

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 :

RyuuNeedsHelpidn

Answer:

25/121

Step-by-step explanation:

This is called sampling with replacement.

The probability of getting a red marble in one sample is 5/11. Since you are sampling twice, the probability of picking a red marble both times is 5/11 X 5/11 = 25/121. That is slightly less than ⅕.

Answer:  61/121

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

Work Shown:

B = event of getting a blue marble

R = event of getting a red marble

P(B) = (6 blue)/(6+5 total) = 6/11

P(R) = (5 red)/(11 total) = 5/11

P(2 blue) = P(B)*P(B) = (6/11)*(6/11) = 36/121

P(2 red) = P(R)*P(R) = (5/11)*(5/11) = 25/121

---------

P(2 same color) = P(2 blue OR  2 red)

P(2 same color) = P(2 blue) + P(2 red)

P(2 same color) = 36/121 + 25/121

P(2 same color) = (36+25)/121

P(2 same color) = 61/121

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.