Question

Find the probabilities of the events described and arrange them in order from the event with the lowest probability of occurrence to the event with the highest probability of occurrence.



the probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles


the probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples


the probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens


the probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls

Answer 1

1.)the probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens
2.)the probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles.
3.)the probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples.
4.)the probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls
(1 being lowest)

Answer 2

Answer: The probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens  < the probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles < the probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples < the probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls.

i.e.  0.2<0.42<0.7<0.87

Step-by-step explanation:

Since we have given that

1) the probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles

Probability would be $\dfrac{\text{Red Marble}}{Total\ marble}}=\dfrac{5}{12}=0.42$

2) the probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples

Probability would be $\dfrac{Peach}{Total}=\dfrac{7}{10}=0.7$

3) the probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens

Probability would be $\dfrac{Green}{Total}=\dfrac{4}{20}=\dfrac{1}{5}=0.2$

4) the probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls

Probability would be $\dfrac{Golf\ ball}{Total}=\dfrac{13}{15}=0.87$

We need to arrange them in order from the event with the lowest probability of occurrence to the event with the highest probability occurrence:

So, 0.2<0.42<0.7<0.87

Hence, it becomes

the probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens  < the probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles < the probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples < the probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls.