Consider a game of chance where a player chooses a marble from a bag in which there are 4 different colored marbles: RED, BLUE, PURPLE, and GREEN AND spins a spinner with the numbers 1-3. Determine the probability that the marble is PURPLE and the spinner lands on a 2: Find the probability that the spinner lands on a EVEN number and the marble is NOT RED. Find the probability that spinner lands on a number LESS THAN 3 and the marble is GREEN. (if you choose to provide an answer in decimal form, ROUND 3 decimal places)​

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?