Question

Without any replacement, 2 cards are drawn from a well shuffled pack of 52 cards.What is the probability that neither a jack nor a card of spades is drawn?? Ans given [105/221]

Answer 1

what is P(not a jack) ?

Answer 2

1-4/52 = 48/52

Answer 3

and what P(not a spade)?

Answer 4

1-13/52 = 39/52

Answer 5

now, if we add these, we have assumed they are independant, but they arent.

some of one are some of the other and we are getting a double count

what is the P(notjack and notspade?)

Answer 6

there is one jack which belongs to the suite of spades, how to take that into account ?

Answer 7

without replacement .. lets redo this ..

Answer 8

the wording is confusing il admit

Answer 9

Without replacement

2 cards are drawn

What is the probability that neither a jack
nor a card of spades is drawn

j's' + s'j' + j'j' + s's' these are all the possible outcomes right?

Answer 10

right

Answer 11

if im wrong dont agree lol can you think of how this is bad?

Answer 12

4 jacks, 13 spades, kick one thats already a jack

4+12 = 16 bad cards out of 52

favorable is therefore 36 out of 52 to pick

16
36
52 good it adds

Answer 13

what i understand is we have two possibilities
when we draw the jack first , we have 51 cards to choose the spade from , but what if the jack drawn was of spade ?
second
if we draw a spade first we have 51 cards to choose the jack from , but what is the spade drawn was a jack.

Answer 14

P(s) * P(s|given first is an s)

36 35
-- * --
52 51

does this give our answer?

Answer 15

yes it does

Answer 16

[105/221] its same

Answer 17

so, how did we do it? you tell me

Answer 18

could you explain what you did ?

Answer 19

i explained it the best i could already, you tell me what your reading :)

Answer 20

36 cards are those cards which are neither a jack nor a spade

Answer 21

good, out of 52

Answer 22

do you see how we get 36?

Answer 23

yes , I got that, I did not understand 35/ 51 part

Answer 24

when we pull a card, conditions change right?

Answer 25

yes .. so we are pulling out two cards which are neither a jack nor a spade one after the other without replacement.

Answer 26

given that we have removed one already from teh deck, and it was not a jack or spade ... how many good cards are left out of how many cards left overall?

Answer 27

I get it now ... thank you !!

Answer 28

youre welcome :)

Answer 29

i am closing the question

Answer 30

thats fine, im looking for another one