Question

the probability of getting exactly 4 tails when 6 unbiased coins coins are tossed is?​

Answer 1

SOLUTION

TO DETERMINE

The probability of getting exactly 4 tails when 6 unbiased coins are tossed

EVALUATION

When 6 unbiased coins are tossed then the total number of possible outcomes

$= {2}^{6}$

$= 64$

Let A be the event that of getting exactly 4 tails

Then the total number of possible outcomes for the event A is

$\sf{ = {}^{6}C_4 }$

$= 15$

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{15}{64} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The sun rises from north. What is the probability

https://brainly.in/question/25984474

2. probability of a 10 year flood occurring at least once in the next 5 years is

https://brainly.in/question/23287014

Answer 2

Given :   getting exactly 4 tails when 6 unbiased coins are tossed  

To Find  : Probability ​

Solution:

unbiased coin

P(T)   p = 1/2

P(H)   q  = 1 -  1/2  = 1/2

n = 6     6 unbiased coins

x = 4      exactly 4 tails

P(x) = ⁿCₓpˣqⁿ⁻ˣ

probability of getting exactly 4 tails when 6 unbiased coins are tossed

= P(4)

= ⁶C₄(1/2)⁴(1/2)⁶⁻⁴

= 15 (1/2)⁶

= 15/64

= 0.234375

probability of getting exactly 4 tails when 6 unbiased coins are tossed  = 15/64  or  0.234375

Learn More:

The probability of a component's failure is 0.05. Out of 14 ...

brainly.in/question/19727623

If probability is 0.55 that a person will believe in a piece of fake news ...

brainly.in/question/19591686