Assuming that a drawn card is replaced in the pack before the next card is drawn, the probability of drawing a card with value of 8 or higher is 6/13.
The probability of a value less than 8 is 7/13.
Let p=6/13, q=7/13.
The binomial for this probability is (p+q)⁵=p⁵+5p⁴q+10p³q²+10p²q³+5pq⁴+q⁵=1.
For 3 or more cards with value≥8, we can calculate the total probability:
p⁵+5p⁴q+10p³q²=0.4282 approx, 42.82%. That is, the sum of all≥8, 4 cards≥8, 3 cards≥8.