$2.$ Bug$($s$)$ in New Software

A software designer notices that the chances of a bug or bugs existing in a new software follow the spread in the table below.

Bug#

Probability

Bug Description

$1$

$0\mathrm{.}30$

Validation Fields

$2$

$0\mathrm{.}20$

Browser Compatiablilty

$3$

$0\mathrm{.}10$

Different Screen Resolution

$4$

$0\mathrm{.}40$

Crash After Button Click

Designers have noticed that if one bug exists, the probability of a second bug reduces to half.

Run a simulation in MatLab that tests $100$ new softwares. Provide a line plot of the probability the software having a Validation Field error followed by having a Crash After Button Click error.