Complete the following statement. All possible outcomes when a coin is tossed twice are ________
Probability: Cases of Coins | Probability | Assessment | English | Grade 10

Quiz
•
Mathematics
•
10th Grade
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
{H,T}
{H,T,H,T}
{HH,HT,TH,TT}
{HH,HT,TT}
Answer explanation
The possible outcomes are --- 1. Getting heads both times 2. Getting head for the first time and tail second time 3. Getting tail first time and head for the second time 4. Getting Tails both Times S = {HH,HT,TH,TT} Hence the correct answer is option 3.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Complete the following statement. Number of outcomes if 5 coins are tossed simultaneously are _______
16
8
32
64
Answer explanation
Number of outcomes when coin(s) are tossed= 2ⁿ , where n is number of coins So , for 5 coins, Number of outcomes = 2⁵ = 32 Hence the correct answer is option 3.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two coins are tossed simultaneously. What is the probability of getting at most one tail?
1
1/4
1/2
3/4
Answer explanation
When two coins are tossed, the possible outcomes are - S = {HH,HT,TH,TT} Total No. of outcomes = 4 Let A be the event of getting at most one tail. A = {HH,HT,TH} No. of favourable outcomes = 3 P(A) = 3/4 Hence the correct answer is option 4.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Three coins are tossed simultaneously. What is the probability of getting a Head on the second coin?
1 / 2
1 / 4
3 / 4
1 / 8
Answer explanation
Three coins are tossed simultaneously. S = { HHH, HHT, HTH, HTT, THH, TTH, THT, TTT} Therefore, there are a total of 8 equally likely outcomes. Event -- Getting a Head on the second coin A = {HHH,HHT,THH,THT} So, Number of favourable outcomes = 4 P( A ) = 4/8 = 1/2 So the correct option is Option 1.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Radhe is playing a game at a fair. It consists of tossing a coin three times and noting it's outcome each time. Radhe wins if he gets Heads on all the tosses otherwise he loses the game. What is the probability that Radhe will win the game?
7/8
1/8
3/8
1/4
Answer explanation
Three coins are tossed one after another S = { HHH,HHT,HTH, HTT,THH,TTH,THT,TTT} Therefore, there are a total of 8 equally likely outcomes. Event - Getting all Heads A = {HHH} So, Number of favourable outcomes = 1 P( A ) = 1/8 = 1/8 Hence, the correct answer is Option 2.
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