A matching card game contains 48 cards. Each card shows a piece of fruit, and there are 8 cards of each fruit in the deck. What is the probability of randomly selecting a picture of a banana?

6 1

1 8

5 6


1 6

A standard deck of 52 cards contains 4 aces. What is the probability of randomly drawing a card that is not an ace?



12 13


3 4


1 13


51 52

Respuesta :

The answer for the first one is b 1/8 and the 2nd one is 1/13

Answer:

[tex]\text{probability of banana}\frac{1}{6}[/tex]

[tex]\text{probability of not ace}=\frac{12}{13}[/tex]

Step-by-step explanation:

Question 1:

Total of 48 cards and 8 card of each fruit

[tex]Probability =\frac{\text{favourable outcomes}}{\text{total number of outcomes}}[/tex]

On substituting the values in the formula we will get

[tex]Probability =\frac{8}{48}=\frac{1}{6}[/tex]

Required probability is   [tex]\frac{1}{6}[/tex]

Question 2:

Total number of ace is 4

Total number of cards is 52

[tex]Probability =\frac{\text{favourable outcomes}}{\text{total number of outcomes}}[/tex]

On substituting the values in the formula we will get

[tex]Probability =\frac{4}{52}=\frac{1}{13}[/tex]

Probability of ace + probability of not ace =1

Hence, [tex]\text{probability of not ace}=1-\frac{1}{13}[/tex]

[tex]\text{probability of not ace}=\frac{12}{13}[/tex]