If a marble is chosen at random, which of the conditional probabilities is larger, P(red|large) or P(large|red)? URGENT

Question

A jar contains 11 large red marbles, 4 small red marbles, 8 large blue marbles, and 6 small blue marbles. If a marble is chosen at random, which of the conditional probabilities is larger, P(red|large) or P(large|red)?

 

 

Thanks in advance.

Answer 1

Number of large marble = 11 +8=19,  11 of which are red so P(red given large) is 11/19

 

Number of red marbles is 11+4=15, 11 of which are large so p(large given red) is 11/15 

 

The second probability is greater.