Sodium hydroxide with Al in H2O makes H2

2 Al(s) + 6 NaOH(aq) → 3 H₂(g) + 2 Na₃AlO₃(aq)

Hydrogen gas (dihydrogen)[9] is highly flammable and will burn in air at a very wide range of concentrations between 4% and 75% by volume.[10] The enthalpy of combustion for hydrogen is −286 kJ/mol:[11]

2 H2(g) + O2(g) → 2 H2O(l) + 572 kJ (286 kJ/mol)[note 1]

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Monty Hall problem

The Monty Hall problem is a probability puzzle based on the American television game show Let's Make a Deal. The name comes from the show's host, Monty Hall. The problem is also called the Monty Hall paradox, as it is a veridical paradox in that the result appears absurd but is demonstrably true.

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