Question

Two dice, one red and one white are rolled. What is the probability that the white die turns up a smaller number than the red die?

Answer 1

So there are 36 different combinations of numbers you can have, so if we take:
[red, white]
[1,1]
[1,2]
[1,3] etc
[2,1]
[2,2] etc
all the way down to [6,6]
and you end up with 36 combinations
then you just need to look at how many there are where the right number is less than the left number (ie white is small than red]
and then
probability = (how many there are with white<red)/36

Answer 2

or another perhaps quicker way to look at it, is if you get a certain number on your white dice, what numbers can you get on the red dice so white<red

so if
white = 1, then red can equal =2,3,4,5,6
white=2 then red can equal =3,4,5,6
etc and count them all up

Answer 3

thankxxxxxxx

Answer 4

Explain pigeon hole principle. Using this principle show that in any group of 36 people, we can always find 6
people who were born on the same day of week. ans pls

Answer 5

the pigeonhole principle states that if n items are put into m pigeonholes with n > m, then at least one pigeonhole must contain more than one item.
Ie if you have 36 people, and there are 7 days in the week, then there must exist one day when (at least) 6 people are born on the same day, cause you only have those seven options