A gambler has 4 packs of cards, each of which is well shuffled and has equal numbers of red, green and blue cards. For each turn he pays 2$ and draws a card from each pack. He wins 3$ if he gets 2 red cards, 5$ if he gets 3 red cards and 10$ if he gets 4 red cards. Let the random variable X represent how much the gambler earned and Y represent the number of blue cards chosen. Find the joint distribution of X and Y.

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?

Segment xz is bisected by point y. if xy = 12x, and the measure of xz = 18x – 6, solve for x

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.