Gareth has a deck of cards with 12 challenge cards and 8 prize cards. Gareth is going to randomly select a card from the deck 148 times, replacing the card and shuffling the deck after each selection. What is the best prediction for the number of times Gareth will select a prize card?

Gareth has a deck of cards with 12 challenge cards and 8 prize cards.

=> The probability he selects a prize card: P = 8/(12 + 8) = 8/20 = 0.4

Gareth is going to randomly select a card from the deck 148 times, replacing the card and shuffling the deck after each selection .

=>The randomness is kept same for all selecting times

Then the best prediction for the number of times Gareth will select a prize card:

=> N = 0.4 x 148 = 59.2 = 59 times

Hope this helps!

:)

step-by-step explanation:

the answer is 62.8 cubic units