In box number 1, there are 4 blue marbles and 2 purple marbles. In box number 2, there are 3 blue marbles and 4 purple marbles. Suppose you draw a marble at random from box number 1 and place it in box number 2; then draw a marble at random from box number 2. (a) Draw a tree diagram for this experiment.

(b) Given that the first marble drawn was blue, what is the probability that the second marble drawn
is also blue?

(c) What is the probability that the second marble drawn will be a purple marble?

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Louis wants to carpet the rectangular floor of his basement.the basement has an area of 864 square feet.the width of the basement is 2/3 it's length. what is the length of louis's basement