A pair of dice is rolled. find the probability of rolling a sum not less than 3
1 answer:
A pair of dice is rolled. Two dice are rolled
Possible outcomes are
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
So total of 36 outcomes
Question says 'the probability of rolling a sum not less than 3'
we look at the pair that has sum greater than or equal to 3
There is only one pair (1,1) whose sum is 1+1 =2
So we ignore (1,1) pair
Remaining 35 pairs have sum greater than 3
the probability of rolling = (number of times event occurs) divide by total number of outcomes
the probability ( rolling a sum not less than 3) =
You might be interested in
So hmmm if you notice the picture below
the bottom of the pyramid is a square, thus is called a "square pyramid"
so the sides are all the same, we know the are is 196, so we end up with a side of 14 for all
now, check the second picture in it, to get the "slant height" of the pyramid, or the height of the triangle, since we know the "lateral area" or the area of the sides is 448, well, the sides are just 4 triangles, divide that by 4, and you'd get the area of 1 triangle, or 112
anyhow, we get the slant height of the pyramid, or height of one triangle,
and notice the 3rd picture in it, is the right-triangle with the height of the pyramid, so, we use the pythagorean theorem to get the height of the pyramid
now, we know the base area is 196, and once you get the height "y", you'll have that as well
keeping in mind that
the bottom of the pyramid is a square, thus is called a "square pyramid"
so the sides are all the same, we know the are is 196, so we end up with a side of 14 for all
now, check the second picture in it, to get the "slant height" of the pyramid, or the height of the triangle, since we know the "lateral area" or the area of the sides is 448, well, the sides are just 4 triangles, divide that by 4, and you'd get the area of 1 triangle, or 112
anyhow, we get the slant height of the pyramid, or height of one triangle,
and notice the 3rd picture in it, is the right-triangle with the height of the pyramid, so, we use the pythagorean theorem to get the height of the pyramid
now, we know the base area is 196, and once you get the height "y", you'll have that as well
keeping in mind that