To solve this problem, we will use the concept of probability. Probability is a measure of the chance that a particular event will occur. It is calculated by dividing the number of ways an event can occur by the total number of equally likely outcomes.
We are assuming that there are 10 marbles, out of which 5 marbles are blue. So, the probability that we will pick a blue marble (the number of ways it can happen) out of the total number of outcomes that are possible is 5/10. This >becomes the probability of the first event. Simplify the fraction to get 0.5.
Next, let's consider the second event. Assume there are four possible spin outcomes, and out of these, only one result is green. So, the probability of spinning green (the number of ways it can happen) by the total number of outcomes is 1/4. Simplify this to get 0.25.
If both events are independent (the outcome of one event has no effect on the outcome of the other), we calculate the probability of both events happening together by multiplying their individual probabilities.
So, the probability of picking a blue marble and spinning green is 0.5 (the probability of picking a blue marble) times 0.25 (the probability of spinning green), which equals 0.125.
Hence, the probability of picking a blue marble and spinning green is 0.125 or, equivalently, 1/8 in fraction form.