Lindsay bought 3 shirts for $15 each. The sales tax in Indiana is 7%.

What is the total cost of her purchase, including tax?

The total cost of the shirts before tax is 3 * $15 = $<<3*15=45>>45.

The tax amount is $45 * 7% = $<<45*7*.01=3.15>>3.15.
The total cost including tax is $45 + $3.15 = $<<45+3.15=48.15>>48.15. Answer: \boxed{48.15}.

Lindsay has $50.00. How much change will she receive after buying her 3 shirts?

The total cost of the purchase is $48.15.

To find out how much change Lindsay will receive, we subtract the total cost from the amount she has:
$50.00 - $48.15 = $<<50-48.15=1.85>>1.85.
Therefore, Lindsay will receive $1.85 in change.