Practise defining discrete random variables and building their probability distributions by grouping outcomes, calculating each probability, and verifying the total.
A charity fundraiser has a Spin the Pointer game that uses a spinner like the one illustrated in the figure below.
A donation of $2 is required to play the game. For each $2 donation, a player spins the pointer once and receives the amount of money indicated in the sector where the pointer lands on the wheel. The spinner has an equal probability of landing in each of the 10 sectors.
Let X represent the net contribution to the charity when one person plays the game once. Complete the table for the probability distribution of X.