Question

Kim plays a card game with the children. She gives Gareth a card.

Gareth has to guess whether his card is higher or lower than 5 Kim tells him
• there are 10 cards higher than 5
• there are 4 cards lower than 5
Gareth thinks he should guess higher than 5
b) Is Gareth correct?
Explain why you think this.

Answer 1

Yes

Explanation:

There are total 10+4 = 14 cards

P(higher than 5) = 10/14 = 5/7

P(lower than 5) = 4/14 = 2/7

There's a higher chance of the card being greater than 5

Answer 2

Explanation:

Step 1: Determine if Gareth is correct

Total number of cards → 10 + 4 → 14

Probability of choosing lower → 4/14 → 2/7

Probability of choosing higher → 10/14 → 5/7

Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.

Answer: Yes