Mathematics, 20.09.2019 08:30 Arealbot

What is the probability that k is the smallest integer in a subset of four different numbers chosen from 1 through 20 (1 ≤ k ≤ 17)?

Answers: 1

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Answers

Hello,

p=4845/116280=0.041666

DIM k AS INTEGER, nFav AS LONG, nTot AS LONG, a AS INTEGER, b AS INTEGER, c AS INTEGER, d AS INTEGER
nTot = 0
nFav = 0
FOR k = 1 TO 17
    FOR a = k + 1 TO 18
        FOR b = a + 1 TO 19
            FOR c = b + 1 TO 20
                nFav = nFav + 1
                PRINT nFav; k; a; b; c
            NEXT c
        NEXT b
    NEXT a
NEXT k
nTot = 0
FOR a = 1 TO 20
    FOR b = 1 TO 20
        IF b <> a THEN
            FOR c = 1 TO 20
                IF c <> b AND c <> a THEN
                    FOR d = 1 TO 20
                        IF d <> c AND d <> b AND d <> a THEN
                            nTot = nTot + 1
                            PRINT nTot; a; b; c; d

                        END IF
                    NEXT d
                END IF
            NEXT c
        END IF
    NEXT b
NEXT a
PRINT "nFav="; nFav, "nTot="; nTot, "prob="; nFav / nTot
END

Answer from: Quest

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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What is the probability that k is the smallest integer in a subset of four different numbers chosen...