On cold mornings, the probability that David's car won't start is $0\mathrm{.}22.$ When it doesn't start, he takes the bus and is late for work. When it does start, he drives to work on the freeway. Sixty$-$five percent of the time the freeway is clear, and he gets to work on time. The rest of the time he is late. Simulate $10$ consecutive days'$$of cold morning trips to work using the random numbers given $($use the smaller numbers to represent "car won't start" and "freeway not clear"$).$

Random numbers:

CarFreeway$0\mathrm{.}77720\mathrm{.}22820\mathrm{.}29020\mathrm{.}36740\mathrm{.}81200\mathrm{.}16540\mathrm{.}22590\mathrm{.}69090\mathrm{.}05270\mathrm{.}70100\mathrm{.}29580\mathrm{.}98020\mathrm{.}28910\mathrm{.}56150\mathrm{.}01310\mathrm{.}56040\mathrm{.}52190\mathrm{.}43610\mathrm{.}99490\mathrm{.}1405$

How many times is David late for work?

Multiple Choice

$1.$

$4.$

$2.$

$3.$

$5.$