Abag contains 3 red and 5 green sweets. tim takes a sweet at random and eats it. he then takes another sweet. what is the probability that tim takes 2 red sweets

The probability that Tim take 2 red Sweet without replacement is 0.0476

Given the Parameters :

Probability = Required outcome / Total possible outcomes

P(2 red sweets) = P(red) × P(red)

Since, selection is without replacement ;

P(2 red sweets) = 2/7 × 1/6 = 0.0476

Therefore, the probability of picking two red sweets is 0.0476

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Step-by-step explanation:

Given : A bag contains 3 red and 5 green sweets. Tim takes a sweet at random and eats it.

Total sweets were in bag = 5+3=8

Number of ways to select 2 red sweets =

Number of ways to select any two sweets =

Now, the probability that Tim takes 2 red sweets is given by :-

Hence, the probability that Tim takes 2 red sweets is .

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 =.

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

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

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

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

slope of the solid line would be =.

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