Title A standard deck of cards consisting of 52 cards, 13 in each of 4 different suits, is shuffled, and   Description ...

Given

Number of ways 4 cards can be drawn from a deck of cards

$$\begin{gathered} ={52}_{C_4} \\ =270725 \end{gathered}$$

Again, there are 4 suits of 13 cards each.

So the number of ways 4 cards from different suits can be drawn 

$$\begin{gathered} ={13}_{C_1}\times {13}_{C_1}\times {13}_{C_1}\times {13}_{C_1} \\ =28561 \end{gathered}$$ 

So the probability is 

$$\begin{gathered} \frac{28561}{270725} \\ =0.105 \end{gathered}$$