Question

A dice is rolled 420 times. How many times will a number greater than 4 occur?​

Answer 1

Answer:

Assuming a 6-sided dice, no special added weights, just a straight-up dice like this with no funny conditions on the dice or the surface it’s being cast on:

There are six faces on this dice, and you’re rolling it 420 times. You’re asking, generally, how many times the number 3 should show up in 420 rolls; in other words, what are the odds of the number 3 showing up in 420 rolls.

The odds with a single throw are 1 in 6, or as a fraction 1/6.

Multiply 420 by 1/6:

420 * 1/6 = 420/6

Divide:

420/6 = 70

So the odds are that out of 420 dice rolls the number 3 should appear 70 times. Remember that it’s not a guarantee even if you know the odds!