**Probability of Picking 3 Blue Marbles** **Problem Statement:** A bag contains 7 red, 3 white, and 9 blue marbles. Find the probability of picking 3 blue marbles if each marble is returned to the bag before the next marble is picked. **Options:** - 729/6859 - 9/19 - 1/3 - 1/6859 **Submit Question:** This is a multiple-choice question where you are required to select one of the options and click "Submit Question" to record your answer. **Explanation:** In this scenario of probability with replacement, the total number of marbles (7 red + 3 white + 9 blue) is 19. The probability of picking a blue marble in one draw is the number of blue marbles (9) divided by the total number of marbles (19), or 9/19. Since each marble is replaced after drawing, the probability remains the same for each draw. Thus, the probability of drawing 3 blue marbles in succession is: \[ \left(\frac{9}{19}\right) \times \left(\frac{9}{19}\right) \times \left(\frac{9}{19}\right) = \left(\frac{9}{19}\right)^3 = \frac{729}{6859} \]

Suppose a jar contains 15 red marbles and 18 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write your answer as a reduced fraction.Answer:

Jenelle draws one from a standard deck of 52 cards.Determine the probability of drawing either a king or a queen?Write your answer rounded to FOUR decimal places.Answer =   Determine the probability of drawing either a king or a spade?Write your answer rounded to FOUR decimal places.Answer =