Question

if 5 coins are tossed what is the probability of getting atmost 3 heads​

Answer 1

≡QUESTION≡

If 5 coins are tossed what is the probability of getting atmost 3 heads?

                                                                                   

║⊕ANSWER⊕║

In this case we are flipping 5 coins

So the number of possibilities is:

$2 * 2 * 2 * 2 * 2 = 32$

(Since the possibilities discussed are head and tail, only 2 possibilities)

There are 26 possible ways to get 3 heads.

(∵ Atmost 3 heads means 0 heads, 1 head, 2 heads and 3 heads included)

Thus, the probability of getting 3 heads from 5 coin flips is: 26/32 or 13/16

                                                                                       

Answer 2

Answer:

Probability of getting at most 3 heads = 13/16

Step-by-step explanation:

We Have :-

5 Coins

To Find :-

Prob of getting at most 3 heads

Solution :-

Number of possibilities = 2 * 2 * 2 * 2 * 2 = 32

We have 4 cases :-

1 ) 0 Head

t    t    t    t    t  

2 ) 1 Head

t    t    t    t    h  

t    t    t    h    t

t    t    h    t    t

t    h    t    t    t

h    t    t    t    t

3 ) 2 Heads

t    t    t    h    h

t    t    h    t    h

t    h    t    t    h

h    t    t    t    h

t    t    h    h    t

t    h    t    h    t

h    t    t    h    t

t    h    h    t    t

h    t    h    t    t

h    h    t    t    t

4 ) 3 Heads

h    h    h    t    t  

h    h    t    h    t

h    t    h    h    t

t    h    h    h    t

h    h    t    t    h

h    t    h    t    h

t    h    h    t    h

h    t    t    h    h

t    h    t    h    h

t    t    h    h    h

From here we can see :-

We have 26 chances when we can get 3 heads atmost

So Probability = 26 / 32

= 13 / 16