SOLUTION
Let us start by defining some terms
1. Independent events: These are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other. It is one of the types of events in probability.
2. Dependent events: These are those which depend upon what happened before. These events are affected by the outcomes that had already occurred previously. i.e. Two or more events that depend on one another are known as dependent events. If one event is by chance changed, then another is likely to differ.
3. Conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or evidence) has already occurred
Now from our definitions above, we can see that the Hot hand theory is a dependent event, since a player can get hot and make a lot of shots in a row , or get hot and make a lot of hits in a row. The tendency of getting a lot of shots or hits in a row, is dependent on whether the player gets hot or not.
I agree with this theory, since a player can get a lot of hits in a row, if he gets hot, getting a lot of hits in a row is dependent on whether the player gets hot.
Also in reality, when a player is hot, that is in the mood for the game, having gone through the game process severally, the tendency of getting more hits or shots in a row should be higher, because at this point the player's morale is higher than when he is not hot, hence getting more hits or shots is possible.
Hence I agree with this theory.