+0

# HELP PLEASE DUE VERY SOON

0
141
3

Someone tossed 4 coins.

What is the probabilty that he will get exactly 3 tails when he tosses the 4 coins?

Jan 29, 2022
edited by Guest  Jan 29, 2022

#1
+69
+5

There are actually many ways to solve this problem, but I will show you one I like the best:

There are 2 * 2 * 2 * 2 = 16 possibilities.

We can have 4 possibiltiies that satisfy the problem:

TTTH

TTHT

THTT

HTTT

Thus the answer is 4/16 = 1/4.

⚡⚡⚡

ShockFish

Jan 30, 2022
#2
+2444
0

$${1 \over 2^3} \times {1 \over 2} \times {4 \choose 1} = {4 \over 16} = \color{brown}\boxed {1\over 4}$$

Explanation:

There is a $${1 \over 2} \times {1 \over 2} \times {1 \over 2}$$ chance of the successes ($$3$$ tails)

There is a $$1 \over 2$$ chance of failure ($$1$$ head)

There are $$4 \choose 1$$ ways to order the failure (the same as $$4 \choose 3$$, which counts the ways to order the successes.)

BuilderBoi  Feb 1, 2022
#3
+117849
+1

4C3 = 4

4/16   = 1/4

Feb 1, 2022