# tossing a coin - Probability - Aptitude MCQ with Explanations

## Tossing a Coins

• The coin toss probability formula.
• when you toss one coin, there are only two possibilities – a head (H) or a tail (L).
• This is because the possibility of obtaining a Head in a coin toss is as likely as obtaining a tail, that is, 50%.
• However, what if you want to toss 2 coins simultaneously? Or say 3, 4 or 5 coins

Coin 1

{ H, T } = 2

Coin 2

HH, HT, TH, TT } = 4

Coin 3

{ HHH, TTT, HHT, TTH, HTH, THT, THH, HTT } =8

Coin 4

{ HHHH, TTTT, HHHT, TTHH, HHTH, TTHT, THHH, HTTT, HHTT, TTHH, HTTH, THHT, TTHH, HHTT } = 16

#### 1.     In a simultaneous toss of  2 coins then find the probability of 2 tails?

A.)1/2    B.)1/3    C.)2/3    D.)1/4

#### 2.     In a simultaneous toss of  2 coins then find the probability of exactly 1 tail?

A.)1/2    B.)2/3    C.)2/4    D.)1/8

#### 3.     In a simultaneous toss of  2 coins then find the probability of no tail?

A.)6/2    B.)1/8    C.)2/4    D.)1/4

#### 4.     3 coins are tossed. find the probability of all heads?

A.)1/2    B.)1/8   C.)2/3    D.)1/4

#### 5.     3 coins are tossed. find the probability of exactly 2 heads?

A.)1/2    B.)1/8    C.)3/8    D.)2/4

#### 6.     3 coins are tossed. find the probability of at least 2 heads?

A.)1/2    B.)4/6    C.)2/3    D.)6/4

#### 7.     3 coins are tossed. find the probability of no heads?

A.)1/4    B.)1/8    C.)2/8    D.)1/3

#### 8.     3 coins are tossed. find the probability of at least 1 head and 1 tail?

A.)3/4    B.)1/2    C.)1/3    D.)2/4

#### 9.     4 coins are tossed once. find the probability of exactly 3 tails?

A.)1/6    B.)4/8    C.)1/3    D.)1/4

#### 10.   4 coins are tossed once. find the probability of at least 1 tail?

A.)12/16    B.)14/16    C.)15/16    D.)16/16

#### 11.   In a simultaneous throw of two coins, the probability of getting at least one head is?

A.)1/2    B.)1/3    C.)2/3    D.)3/4

#### 12.   Three unbiased coins are tossed. What is the Probability of getting at least 2 heads?

A.)1/4    B.)1/2   C.)1/3    D.)1/8

#### 13.   Three unbiased coins are tossed. What is the Probability of getting at most heads?

A.)3/4    B.)1/4    C.)3/8    D.)7/8

1. 