# Math

A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.

What is the probability that you choose a blue marble and then another blue marble, assuming you replace the first marble?

1. 👍 1
2. 👎 0
3. 👁 1,346
1. A)
1
24
B)
1
16
C)
1
2
D) **
3
4

1. 👍 0
2. 👎 3
2. I disagree

prob blue = 3/12 = 1/4
since you are replacing ,
prob(blue, blue) = (1/4)(1/4) = 1/16

1. 👍 4
2. 👎 0
3. Thanks, also can you help me with 1 more?
A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a king, and an ace.

If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a king?
A)
1
17
B)
16
51
C)
4
17
D)
5
17

1. 👍 1
2. 👎 1
4. For your first draw, you drew the 3 of spades, so for your next draw you want a spade or a king

First of all, there are now only 51 cards left,
there are 12 spades left and 4 kings left, which includes the king of spades
so the number of successful cards = 12+4-1 = 15

prob (of your event) = 15/51 = 5/17

1. 👍 1
2. 👎 1

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