I have a bag with 4 different coloured marbles. Blue, green, red, and orange. I have 2x,7,7x + 5,4x -3 of each coloured marble respectively. If the probability of a green marble being picked is 7/100, find the probability of an orange marble being picked.

Let's reorgansie the information we've been provided with in the question: Colour of marble - number of marbles in the bag Blue - 2x Green - 7 Red - 7x + 5 Orange - 4x - 3 Probability of the green marble being picked = 7/100 We want to find the probability of an orange marble being picked from the bag. To find the answer, we first need to find the number of orange marbles there are, to do so, we need to find x. From the value of our given probability, we can tell that there are 100 marbles in the bag. Our equation to find x becomes: (2x) + 7 + (7x + 5) + (4x - 3) = 100 Simplifying this gives: 91 = 13x x = 7 Substituting (x = 7) into (4x - 3), which (4x - 3) is the number of orange marbles, 4(7) - 3 = 25 So there are 25 orange marbles in the bag. Probability of an orange marble being picked = Number of orange marbles / total number of marbles = 25/100 = 1/4