Answer: [tex]\dfrac{18}{143}[/tex]
Step-by-step explanation:
Given: The number of Mathematics books = 4
The number of English books =3
The number of science books = 6
Total number of books : [tex]6+4+3=13[/tex]
If Laura opens the bag and selects books at random, then the probability to pick one science book is given by :_
[tex]\text{P(1 science and 2 mathematics books)}=\dfrac{^6C_1\times ^4C_2}{^{13}C_3}}\\\\\\=\dfrac{6\times\frac{4!}{2!(4-2)!}}{\frac{13!}{3!(13-3)!}}\\\\\\=\dfrac{6\times6}{\frac{13\times12\times11\times10!}{3!\times10!}}\\\\\\=\dfrac{36}{286}=\dfrac{18}{143}[/tex]
Hence, the probability to pick one science book is [tex]\dfrac{18}{143}[/tex].
