样本量 vs 信号强度：谁的证据更强

An urn contains six balls - - three red and three blue. One of these balls let us call it ball A - - is selected at random and permanently removed from the urn without the color of this ball being shown to an observer. This observer may now draw successively - - at random and with replacement a number of individual balls (one at a time) from among the five remaining balls, so as to form a noisy impression about the ratio of red vs. blue balls that remained in the urn after A was removed.

Peter may draw a ball six times, and each time the ball he draws turns out to be red. Paula may draw a ball 600 times; 303 times she draws a red ball, and 297 times a blue ball. Clearly, both will tend to predict that ball A was probably blue. Which of them- if either- has the stronger empirical evidence for his/her prediction?