Avending machine offers 8 different drinks. one day, 6 employees each purchased a drink from the vending machine. find the probability that at least 2 employees purchased the same drink. round your answer to the nearest hundredth.

0.923

Step-by-step explanation:

Given:

=> the total possible outcomes:

The probability that at least 2 employees purchased the same drink, it means that we can use: 1 - The probability that at no employees purchased the same drink.

So, number favorable outcomes at no employees purchased the same drink: 8*7*6*5*4*3

Hence, The probability that at no employees purchased the same drink:

= number favorable outcomes / the total possible outcomes

= 8*7*6*5*4*3  /  

= 0.77

=> The probability that at least 2 employees purchased the same drink: 1- 0.77 = 0.923

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.