the names of nine boys and two girls are in a hat. what is the probability of first drawing a girls name and then a boys name fr

Question

2 years ago

7

om the hat

2 answers:

lara [203] · Answer 1 · 2022-07-27T01:44:21+03:00

lara [203]2 years ago

5 0

18/121 shoul be the answer

krok68 [10] · Answer 2 · 2022-07-27T03:38:00+03:00

<h2>Answer:</h2>

The probability of first drawing a girls name and then a boys name from the hat is:

$\dfrac{9}{55}$

<h2>Step-by-step explanation:</h2>

It is given that:

The names of nine boys and two girls are in a hat.

This means that the total number of names in the hat are: 9+2=11.

Also, the probability of first drawing a girls name and then a boys name from the hat is given by:

Probability of drawing a girl name×Probability of drawing a boy name.

Also, the drawing of names is done without replacement.

Hence, we get probability as:

$=\dfrac{2}{11}\times \dfrac{9}{10}\\\\=\dfrac{9}{55}$

The probability is: $\dfrac{9}{55}$