Question

Suppose the inside bottom of a box is painted with three colors: 71​ of the bottom area is red, 74​ is blue, and 77​ is white. You toss a tiny pebble into the box without aiming. What is the probability that the pebble lands on the color blue? (Express numbers in exact form. Use symbolic notation and fractions where needed.) probability that the pebble lands on the color blue: incorrect What is the probability that the pebble does not land on the color red? (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Answer 1

The probability problems described relate to calculating the likelihood of drawing a marble or landing a pebble of a specific color in a discrete space, often represented by finite sets like a bag of marbles or a painted box. Replacement and non-replacement scenarios affect the probabilities differently.

Step-by-step explanation:

The question regarding the probability of a pebble landing on a particular color and the probability of not landing on red from the box scenario has similarities with multiple probability problems involving bags or jars with different colored items. These scenarios are fundamentally about calculating probabilities in discrete spaces with distinct outcomes. If we consider an example where a bag contains four blue and three white marbles, and if one is drawn at random, the probability of drawing a blue marble is given by the number of blue marbles over the total number of marbles. Therefore, P(blue) = 4/7. When a marble is drawn and then replaced, the probabilities remain the same for subsequent draws because the composition of the bag hasn't changed.