How many children die every day in Palestine?

Answer 1

General Answer
On a general basis, most days do not have any Palestinian child deaths or if such deaths occur, we are talking about incidental numbers, primarily coming from garden-variety homicide.

Strict Numbers
If you strictly want numbers, from September 2000 to October 2015, B'Tselem, an Israeli human rights organization that is known in Israel for being very sympathetic to the Palestinian Cause, 1,407 Palestinian children have been killed. (This includes the Second Intifada and all three Gazan Wars.) This would average to one Palestinian child death every four days. -- Far less than you likely imagined. Compare this to Darfur, where in 2004, 180 children were dying per day as a result of Sudanese-supported Janjawid.

Discussion of Palestinian Self-Endangerment
If the question is specifically asking about wartime, this entirely depends on what actions Palestinians choose to do. In all three Gazan Wars and in all three Intifadas, Israel has not targeted Palestinian children. While it is certainly the case that Israeli Army, Police, and Civilians have been responsible for the death of Palestinian Children, there is also certainly an actuality that Palestinian Militant and Terror Organizations have caused the death of Palestinian children. In fact, many more of the deaths of Palestinian children are due to either (1) Palestinian children choosing to become suicide bombers or (2) Palestinian families refusing to leave areas where Hamas has set up rocket launchers.

It is very important to note that there is no intention in the Israeli Army, no memorandum, and no unofficial desire to kill Palestinian non-combatants (which includes children). The deaths of Palestinian children are regrettable and if the violence were to cease on both sides, Palestinian children would not have to worry about being embroiled in a conflict where both their country and another could end them.

We should also ask, how many stabbings are occurring throughout Israel right now by Palestinians, especially younger children, who are convinced that by murdering Jews that they will get into paradise and "achieve something" for Palestine.