Question

Callum collected data on 100 people who walked along his road on a snowy day. An incomplete table of his results is shown below.

A person who was carrying a drink is randomly chosen from Callum's data. The probability that this person was also wearing gloves is 15'
How many of the people were carrying a drink?

Answer 1

Explanation:

Let's use the given information to fill in the missing values in the table:

CARRYING A DRINK & WEARING GLOVE = 14

CARRYING A DRINK & NO WEARING GLOVE = x

NO CARRYING A DRINK & WEARING GLOVE = y

NO CARRYING A DRINK & NO WEARING GLOVE = 42

We know that the total number of people is 100, so:

14 + x + y + 42 = 100

x + y = 44

We also know that the probability of someone carrying a drink and wearing gloves is 15%, so:

P(Carrying a drink and wearing gloves) = 14/x = 15/100

Solving for x, we get:

14/x = 15/100

x = 93.33

Since we can't have a fraction of a person, we round x to the nearest whole number:

x = 93

Therefore, the number of people carrying a drink is:

CARRYING A DRINK & WEARIN GLOVE + CARRYING A DRINK & NO WEARIN GLOVE = 14 + 93 = 107

So, there were 107 people carrying a drink in Callum's data.

Answer 2

There were 30 people carrying a drink in Callum's data.

Carrying a drink and wearing glove =14

Carrying a drink and no wearing glove = X

No carrying a drink and wearing glove = y

No carrying a drink and No wearing glove = 42

We know that the total number of people is 100,

so: 14+x+y+42=100 x + y = 44

We also know that the probability of someone carrying a drink and wearing gloves is 7/15, so:

P(Carrying a drink and wearing gloves) = 14/x+14= 7/15 7x+98=210

7x=112

X=16

Therefore, the number of people carrying a drink is:

Carrying a drink and wearing glove + Carrying a drink and no wearing glove = 14+16=30

So, there were 30 people carrying a drink in Callum's data.