Question

I’m in need of help!! TYSMM asap

Answer 1

6

Explanation:

First, we can calculate the total number of cards:

total cards = (cards with letters) + (cards with numbers)

total cards = 12 + 16

total cards = 28

Using the total number of cards, we can define the probability of pulling a card with a letter one time (or many times with replacement) as:

`P(\text{card with letter}) = \frac{\text{cards with letters}}{\text{total cards}}`

`P(\text{card with letter}) = (12)/(28)`

`P(\text{card with letter}) = (3)/(7)`

Finally, we can create a prediction for the number of times a card with letters will be pulled by multiplying the probability of pulling a card with a letter by the number of times we are pulling a card with replacement.

`\text{prediction} = \text{pulls} \cdot P(\text{card with letter})`

`\text{prediction} = 14 \cdot (3)/(7)`

`\boxed{\text{prediction} = 6}`