Two experts, A and B$,$ each predict the direction of the A$-$share stock index for the next month $($with two possible predictions: up or down$).$ Expert A has made $120$ predictions with an accuracy rate of $80\%.$ Expert B has made $2500$ predictions with an accuracy rate of $60\%.$ Which expert would you be willing to pay for their advice, and why?

I$\text{'}$m wondering if there is any statistical way to measure which one performs better.