Question

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

Answer 1

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

Answer 2

`\text{probability of banana}(1)/(6)`

`\text{probability of not ace}=(12)/(13)`

Explanation:

Question 1:

Total of 48 cards and 8 card of each fruit

`Probability =\frac{\text{favourable outcomes}}{\text{total number of outcomes}}`

On substituting the values in the formula we will get

`Probability =(8)/(48)=(1)/(6)`

Required probability is
`(1)/(6)`

Question 2:

Total number of ace is 4

Total number of cards is 52

`Probability =\frac{\text{favourable outcomes}}{\text{total number of outcomes}}`

On substituting the values in the formula we will get

`Probability =(4)/(52)=(1)/(13)`

Probability of ace + probability of not ace =1

Hence,
`\text{probability of not ace}=1-(1)/(13)`

`\text{probability of not ace}=(12)/(13)`