Question

A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 5 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability rounded to the nearest hundredth
P(blue)=_____
P(green)=_____
P(purple)=_____
P(yellow)=_____

Answer 1

Answer:

P(blue) = 0.33

P(green) = 0.14

P(purple) = 0.24

P(yellow) = 0.29

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7+3+6+5 = 21 tils.

7 of them are blue. So

P(blue) = 7/21 = 0.33

3 of them are green. So

P(green) = 3/21 = 0.14

6 of them are yellow. So

P(yellow) = 6/21 = 0.29

5 of them are purple. So

P(purple) = 5/21 = 0.24

Answer 2

Answer:

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

According to the question

7 + 3 + 6 + 5 = 21 in a bag

$P(blue) = \frac{7C_1}{21C_1} \\\\=\frac{7}{21} \\\\=\frac{1}{3} \\\\= 0.33$

$P(green) = \frac{3C_1}{21C_1} \\\\= \frac{3}{21} \\\\=\frac{1}{7} \\\\= 0.14$

$P(yellow)=\frac{6C_1}{21C_1} \\\\=\frac{6}{21}\\\\=\frac{2}{7} \\\\=0.29$

$P(purple) = \frac{5C_1}{21C_1} \\\\=\frac{5}{21} \\\\=0.24$