Chapter 12, Problem 1E

To determine

To Calculate : Probability of getting $23$ aces i drawing $5$ cards from a deck.

Answer to Problem 1E

  $\text{(a)}\text{4\%}$

Explanation of Solution

Given information :

We know that, a standard deck of $52$ cards from which $5$ cards are drawn.

Formula Used:

Probability P(E) = $\frac{\text{No}\text{. of favourable outcomes}}{\text{Total possible outcomes}}$

Calculation:

Favourable cases = ${}^4{C}_2\times {}^{48}{C}_3=103776$

Total cases = ${}^{52}{C}_5=2598960$

  $\therefore$ Percentage probability = $\frac{\text{103776}}{\text{2598960}}\times 100=4\%$