Question

There is a bag filled with 6 blue and 5 red marbles.

Answer 1

Answer:

60/121

Step-by-step explanation:

There are two outcomes that are included in the event "2 different in color" -- either  Red followed by Blue (RB) or Blue followed by Red (BR).

Probability of RB is $\frac{5}{11}\times \frac{6}{11}=\frac{30}{121}$  The denominator 11 does not change in the second fraction because you put the first marble back; still 11 marbles in the bag.

Probability of BR is $\frac{6}{11} \times \frac{5}{11}=\frac{30}{121}$

Probability of RB or BR:  add the probabilities to get 60/121.