Final Answer:
the probability of pulling a blue rock is 50% (Option c).
Step-by-step explanation:
The probability of pulling a blue rock can be determined by the ratio of the number of favorable outcomes (pulling the blue rock) to the total number of possible outcomes. In this case, there is one blue rock out of two rocks in total. Therefore, the probability (P) of pulling a blue rock is given by the formula:
Pₓ(Blue) = Number of Blue Rocks / Total Number of Rocks
Substituting the values, we get:
Pₓ(Blue) = 1 / 2
To express this as a percentage, we multiply the probability by 100:
Pₓ(Blue) = 1 / 2 * 100 = 50%
Therefore, the probability of pulling a blue rock from the bag is 50%, which corresponds to option C.
Understanding probability is fundamental in assessing likelihoods and making informed decisions. In this scenario, the equal likelihood of drawing either the red or blue rock contributes to the 50% probability. This result aligns with the intuitive understanding that, with two equally likely outcomes, each has a 50% chance of occurring. Probability is a key concept in both mathematics and real-world applications, providing a quantitative measure of uncertainty. In this case, it helps us grasp the likelihood of a specific event, making it a valuable tool in various fields, from statistics to decision-making (Option c).