Question

Find the probability of getting both red pencils, when from a bag containing 5 red and 4 black pencils,
two pencils are drawn without replacement.​

Answer 1

Answer:

p(E) of getting red pencil

P(E)=5/9

Answer 2

Answer:

Probability of drawing two red pencils  without replacement  = $\frac{5}{18}$

Step-by-step explanation:

Given

A bag contains 5 red and 4 black pencils.

Two pencils are drawn without replacement

To find,

The probability of getting both red pencils

Recall the formula

$Probability = \frac{Number \ favorable \ outcomes}{Total \ number \ of \ outcomes}$

Solution:

Total number of pencils = 9

Total number of outcomes = Total outcomes of drawing two pencils out of 9 pencils =  ⁹C₂

= $\frac{9X8}{1X2}$ = 36

Total number of outcomes = 36

Number of favorable outcomes = The number of drawing 2 red pencils out of 5 red pencils = ⁵C₂

= $\frac{5X4}{1X2}$

= 10

Number of favorable outcomes = 10

Probability of drawing two red pencils out of 5 red pencils = $\frac{10}{36} = \frac{5}{18}$

Answer:

Probability of drawing two red pencils  without replacement  = $\frac{5}{18}$

#SPJ3