Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her total cards to her friend. If Carlos has 76 cards, how many cards do they have together?

247 cards

Step-by-step explanation:

Misha : Carlos = 9 : 4

Carlos = 76 cards

Misha = x cards

9 : 4 = x : 76

9/4 = x/76

Cross product

9 * 76 = 4 * x

684 = 4x

x = 684 /4

x = 171

Misha = 171 cards

how many cards do they have together?

Total cards altogether = Misha + Carlos

= 171 cards + 76 cards

= 247 cards

Total cards altogether = 247 cards

Solution:

For the first marble chosen by the player1,  

The probability that the marble is red is 3/9=1/3

After that the second player chose without replacement, there are 8 marbles left, of which 6 are blue.  So the probability of the second one being red is 6/8 = 3/4.

Since the question is asking the probability of both events happening,

So we have to multiply the two probabilities.

So the answer is (1/3) * (3/4) = 1/4.