Suppose that an equal number of female birds were used in each experiment. Use the law of total probability to find the probability distribution in the combined experiment.
An experiment to see which color of male birds female birds prefer is repeated two times. The first time, females mate with red males with probability 0.5, with blue males with probability 0.3, and with green males with probability 0.2. The second time, females mate with red males with probability 0.4, with blue males with probability 0.35, and with green males with probability 0.25. At the end, the results of the two experiments are combined.