Question

A drawer holds 4 red hats and 4 blue hats. What is the probability og getting exactly 3 red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and immediately returning every hat to the drawer before taking out the next?
a.½ b. 1/8 c . ¼ d. 3/8

Answer 1

there is conflict between a and b

Answer 2

wait for a min...or till then can u write ur steps?

Answer 3

finding 4 out of 8
(4/8*4/8*4/8*4/8)=1/16
1/16+1/16=2/16=1/8

Answer 4

but why the conflict between a and b?

Answer 5

when i google it i got another one i mean 1/2 thats why!!!!!!!!

Answer 6

U get the answer on google also!

Answer 7

yes on m4maths

Answer 8

The binomial distribution applies to this problem. The probability of getting exactly three red hats or exactly three blue hats is given by:
\[\left(\begin{matrix}4 \\ 3\end{matrix}\right)\times (0.5)^{3}\times 0.5=4\times (0.5)^{3}\times 0.5=?\]

Answer 9

Required probability is 1/4.

Answer 10

you are not going right

Answer 11

@savi Do you understand the binomial distribution?

Answer 12

i knew it but its a short time tricky question ,there are many way to solve it ,but i want an easy one

Answer 13

4!/3! * (1/2)^4 = 1/4