Suppose you have a bag with 20 letter tiles in it and 9 of the tiles are the letter V. If you pick a letter tile at random from the​ bag, the probability that it is the letter V is 9/20. Suppose another bag has 500 letter tiles in it and 210 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V​?

42% and 210/500

42%

Step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560