55% of college freshmen are women. If you pick 4 freshmen at random. What's the probability they are all males?

probability they are all males is 0.041

Step-by-step explanation:

Here we have , 55% of college freshmen are women. If you pick 4 freshmen at random . We need to find What's the probability they are all males . Let's find out:

Probability to have women is 55 % i.e. 0.55 so for men is :

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Now , 4 persons are randomly chosen and we need to find probability to have all 4 males that will be :

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Therefore ,  probability they are all males is 0.041

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form