Question

Three coins are tossed simultaneously. The probability of getting all heads is
A. 1
B. 1/2
C. 1/4
D. 1/8

Answer 1

Answer:

Option D

Step-by-step explanation:

Given:-

Three coins are tossed simultaneously.

To find:-

Find the probability of getting all heads ?

Solution:-

Number of coins are tossed = 3

We know that

If n coins are tossed simultaneously then the total number of possible outcomes are 2^n

If 3 coins are tossed then total number of possible outcomes = 2^3 = 2×2×2 = 8

Let Head = H , Tail -T

They are :

H H H

H T T

T T H

T H T

H T T

H H T

T H H

T T T

Number of favourable outcomes to all heads = 1

We know that

Probability of an event P (E) = Number of favourable outcomes/ Total number of all possible outcomes

Probability of getting all heads =

Number of favourable outcomes to all heads / Total number of all possible outcomes

=> 1/8

Answer:-

Probability of getting all heads is 1/8

Used formulae:-

• If n coins are tossed simultaneously then the total number of possible outcomes are 2^n
• Probability of an event P (E) = Number of favourable outcomes/ Total number of all possible outcomes