math
posted by m .
The numbers 110 are placed on cards, and the cards are put in a hat. If two cards are drawn, in order, without replacement, what is the probability that one number is even and the other a prime?
I know there are 4 primes2,3,5,7 and 5 even numbers 2,4,6,8,10
not sure how to figure the probability

It could be
PE or EP
what messes things up is that the 2 is in both groups
PE:
case 1: the 2 was picked as the prime
prob of that is (1/10)(4/9)
case 2: the 2 was not picked as the prime
prob of that is (3/10)(5/9)
so prob (PE) = 4/90 + 15/90 = 19/90
EP:
case 1: the 2 was picked as the even
prob = (1/10)(3/9) = 3/90
case 2: the 2 was not picked as the even
prob = (4/10)(4/9) = 16/90
prob(EP) = 3/90 + 16/90 = 19/90
so prob of (one prime and one even) = 19/90 + 19/90 = 19/45
Respond to this Question
Similar Questions

Math
Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second card is a number card, if the first card was a queen? 
Math
The numbers 110 are placed on cards, and the cards are put in a hat. If two cards are drawn, in order, without replacement, what is the probability that a. both are composite? 
Math
Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both cards are kings if the first card drawn was a king? 
Math
two cards are drawn without replacement from an ordinary deck of 52 playing cards. what is the probability that both cards are kins if the first card drawn was a king? 
statistics
The red face cards and the black cards numbered 29 are put into a bag. Four cards are drawn at random without replacement. Find the following probabilities: a) All 4 cards are red b) 2 cards are red and two cards are black c) At least … 
math
two cards are selected at random without replacement from a wellshuffled deck of 52 playing cards. find the probability of the given event. a. two cards of the same suit are drawn. b. a pair is not drawn. 
Math (Probability)
A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are pulled in order, without replacement from this deck … 
probability
Tad draws three cards at random, without replacement, from a deck of ten cards numbered 1 through 10. What is the probability that no two of the cards drawn have numbers that differ by 1? 
Maths
Five cards are lettered A B C D R.Three cards are chosen at random, one after the other, without replacement and are placed in the order.what is the probability that the cards spell the word BED 
Maths
Five cards are lettered A B C D E.Three cards are chosen at random, one after the other, without replacement and are placed in the order.what is the probability that the cards spell the word BED