Question

Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?

Answer 1

the chances of her being picked are 3/26...so the chances of her not being picked are 23/26

Answer 2

The probability that Teesha will not be picked as a guide is 88.5%.

Explanation:

Given : Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France.

To find : What is the probability that Teesha will not be picked as a guide?

Solution :

First we find that the number of combinations we have with 26 students and picking 3:

`^(26)C_3=(26!)/(3!* 23!)`

`^(26)C_3=(26* 25* 24* 23!)/(3* 2* 23!)`

`^(26)C_3=(26* 25* 24)/(3* 2)`

`^(26)C_3=2600`

Now, we have to find the number of ways when Teesha will not be picked as a guide.

The number of candidates reduced into 25.

`^(25)C_3=(25!)/(3!* 22!)`

`^(25)C_3=(25* 24* 23* 22!)/(3* 2* 22!)`

`^(26)C_3=(25* 24* 23)/(3* 2)`

`^(26)C_3=2300`

So the probability that she won't be picked is:

`P=(2300)/(2600)`

`P=(23)/(26)`

`P=0.885`

`P=88.5\%`

Therefore, The probability that Teesha will not be picked as a guide is 88.5%.