527/MR00. problem / Math - Solved Math Problems

MR-527 / 12. problem

The class organizes a lottery with three numbers from numbers: 1, 2, 3, 4, 5 . Tom markes 2, 3 and 5 number on the coupon.
Calculate the probability that Tom will have a total win!

All Problems

Source: MathReference: Generic Math Textbook - 527.)

Algebra → Exponential equations and inequalities → Exponential equations

P (A) = \frac{|A|}{|Ω|}

|Ω| = C_{3}^{5} = (\begin{matrix} 5 \\ 3 \end{matrix})

|Ω| = (\begin{matrix} 5 \\ 3 \end{matrix}) = \frac{5 \cdot 4 \cdot 3}{3!} = \frac{5 \cdot 4 \cdot 3}{3 \cdot 2 \cdot 1} = 5 \cdot 2

|Ω| = 10

|A| = 1

P (A) = \frac{|A|}{|Ω|} = \frac{1}{10}

P (A) = 0, 1

Valószínűségszámítás

P (A) = 0, 1

MathReference - Problems