Solution:
Step 1: Total possible outcomes
When three coins are tossed, the total number of outcomes is given by:
The possible outcomes are:
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Step 2: Favorable outcomes
We need exactly two heads. The outcomes with exactly two heads are:
HHT, HTH, THH
There are 3 favorable outcomes.
Step 3: Probability formula
The probability is given by:
Substitute the values:
The probability of getting exactly two heads is:
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100 Questions
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90 Mins English English20 Questions20 Marks10 Mins English English10 Questions10 Marks8 Mins EnglishIf four whole numbers are chosen at random and multiplied together, what is the chance that the last digit in the product is 1,3,7 or 9 ?
In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting atleast 3 from each part. In how many ways can a student select the questions?
A five digit number is formed with the digits 8, 3, 4, 5 and 6 without repetition. Find the probability that the number is divisible by 5.
From a group of 37 men and 13 women, 3 persons are selected at random. Find the probability that out of the selected three persons, two are women and one is man.
(Approximately in %)
Four unbiased coins are tossed. What is the probability of getting exactly four heads?
In a leap year, the probability of getting 53 Sundays is-
There are 5 balls in a bag; in which 4 are blue and 1 is red. What is the probability that a blue ball gets picked?
A fair coin is tossed two times independently and X denotes the number of heads. Then a fair 6-faced die is thrown at random (independently of the tosses) and Y denotes the number on the top of the die. What is the probability that the value of X + Y is 4?
The probability that a ticketless traveller is caught during a rip is 0.1. If the traveller makes 4 trips, the probability that he/she will be caught during at least one of the trips is:
Suggested Test Series
Suggested Test Series
If four whole numbers are chosen at random and multiplied together, what is the chance that the last digit in the product is 1,3,7 or 9 ?
In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting atleast 3 from each part. In how many ways can a student select the questions?
A five digit number is formed with the digits 8, 3, 4, 5 and 6 without repetition. Find the probability that the number is divisible by 5.
From a group of 37 men and 13 women, 3 persons are selected at random. Find the probability that out of the selected three persons, two are women and one is man.
(Approximately in %)
Four unbiased coins are tossed. What is the probability of getting exactly four heads?
In a leap year, the probability of getting 53 Sundays is-
There are 5 balls in a bag; in which 4 are blue and 1 is red. What is the probability that a blue ball gets picked?
A fair coin is tossed two times independently and X denotes the number of heads. Then a fair 6-faced die is thrown at random (independently of the tosses) and Y denotes the number on the top of the die. What is the probability that the value of X + Y is 4?
The probability that a ticketless traveller is caught during a rip is 0.1. If the traveller makes 4 trips, the probability that he/she will be caught during at least one of the trips is:
