(2/3) / -14 is the same as (2/3) * -(1/14) since we can multiply by the reciprocal when dividing with fractions.
2/3 * -1/14 = -2/42 = -1/21
Answer:
Expected number of matches that occur = 4 matches
Step-by-step explanation:
First of all, let X_i be the event that when we turn over card i if it matches the required cards face.
Thus, for example X_1 is the event that turning over one card results in an ace while X_2 is the event that turning over second card reveals a deuce.
The number of matched cards "N" is given by the sum of this indicator random variable as shown in the attached file;
Multiply all of them together.10*9*8 and so on...
3,628,800 ways !