Two cards will be dealt off the top of a well-shuffled standard deck of 52 playing cards (without replacing the first card). You have a choice:

(i) To win $1 if the first card is an ace (there are four aces in a standard deck).

(ii) To win $1 if the first card is an ace, and the second card is an ace.

Briefly explain which is better, intuitively and without calculating, and then work out both probabilities.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.