A bag P contains 4 white balls and 3 black balls and a bag Q contains 5 white balls and 2 black balls. A ball is drawn at random from P and put into Q. Find the probability that the ball drawn from Q has: 1. The same color as that drawn from P; 2. A different color from that drawn from P;

a)  

b)  

Step-by-step explanation:

From the question we are told that:

Bag A  

Bag Q  

Generally the equation for Probability of drawing W&B balls is mathematically given by

Bag A

Since Ball is drawn and added to Bag Q

Bag Q

a)

Generally the equation for Probability of being the same is mathematically given by

b)

Generally the equation for Probability of NOT being the same is mathematically given by

if x = 1, then the answer is 3.5

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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