Please help w correct answers. Need to check my work

2 people are randomly selected and their dominate hand was recorded. Assume each person's dominate hand is independent of the next and P(L)=0.10, P(~L)=0.90. Let X be the number of people that are left-handed. Complete the following table that can be used to construct the probability distribution table (enter probabilities to 2 decimal places) S X Probability LL L-L ~LL ~L-L