#4) A box contains 3 white balls, numbered 1,2,3, and 3 blue balls numbered 1,2,2, respectively. We draw a ball at random and observe its color and number. Let E be the event "the color is white", and...

Extracted text: #4) A box contains 3 white balls, numbered 1,2,3, and 3 blue balls numbered 1,2,2, respectively. We draw a ball at random and observe its color and number. Let E be the event "the color is white", and F the event "the number is 1". Are these two events independent? Are they mutually exclusive? Explain.