There are four ways to grab the $5$ cards so that the $2$ black are consecutive: $BBRRR$, $RBBRR$, $RRBBR$, and $RRRBB$.

There are $26 \times 25 \times 26 \times 25 \times 24 = 10140000$ ways to grab the cards precisely in $BBRRR$ order. You can find the number of ways to grab the cards in the other three cases in a similar way.