Question

Pierre plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the probability that he will win on his next turn. There are 9 blue cards, 9 green cards, 9 orange cards, 9 brown cards, 9 yellow cards, and 9 pink cards. Pierre needs either an orange or a brown card to win on his next turn.

What is P(orange or brown)?


127

29

13

25

Answer 1

(c) 1/3

Explanation:

The probability of drawing an orange or brown card is the ratio of the number of orange or brown cards to the total number of cards. The distribution of cards is given as ...

• 9 blue
• 9 green
• 9 orange
• 9 brown
• 9 yellow
• 9 pink

__

There are 9 + 9 = 18 cards that are orange or brown. There are 6×9 = 54 cards altogether. Then the probability Pierre is interested in is ...

p(orange + brown) = (number of orange or brown) / (total number)

= 18/54 = 1/3

p(orange or brown) = 1/3