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In this article we consider products of real random matrices with fixed size.Let $A_1,A_2, \dots $ be i.i.d $k \times k$ real matrices, whose entries areindependent and identically distributed from probability measure $\mu$. Let$X_n = A_1A_2\dots A_n$. Then it is conjectured that $$\mathbb{P}(X_n \text{has all real eigenvalues}) \rightarrow 1 \text{ as } n \rightarrow \infty.$$ Weshow that the conjecture is true when $\mu$ has an atom.

Probability that product of real random matrices have all eigenvalues real tend to 1