Answer:
The probability of choosing a marble with stripes, P(stripes), would be 0.2. The complement of choosing a marble with no design, P'(no design), would also be 0.2.
Explanation:
1. The probability of choosing a marble with stripes, P(stripes), would depend on the proportion of marbles with stripes in the overall population of marbles available to choose from.
2. If, for example, there are 20 marbles with stripes and 80 marbles without stripes in a set of 100 total marbles, the probability of choosing a marble with stripes would be 20/100, or 0.2.
3. The complement of choosing a marble with no design, P'(no design), would be the probability of choosing a marble with stripes, or P(stripes).
4. This is because the complement of an event is the probability of the event not occurring.
5. So, if the probability of choosing a marble with stripes is 0.2, the probability of not choosing a marble with stripes (i.e. choosing a marble with no design) would also be 0.2.