Harpreet tosses two different coins simultaneously (say, one is of $\text{₹}1$ and other of $\text{₹}2$). What is the probability that she gets at least one head?

Step 1: Define outcomes for each coin

When a coin is tossed, there are two possible outcomes: Head (H) or Tail (T). We consider the outcomes for each of the two different coins Harpreet tosses.

Step 2: List all possible outcomes

Since two coins are tossed simultaneously, we list all possible paired outcomes. The first element in each pair represents the outcome of the $\text{₹}1$ coin and the second represents the outcome of the $\text{₹}2$ coin. The total number of possible outcomes is 4.

Step 3: Identify favorable outcomes

The problem asks for the probability of getting at least one head. This means we are interested in outcomes where there is one head or two heads. We identify these specific outcomes from our sample space.

Step 4: Count number of favorable outcomes

From the favorable outcomes identified in the previous step, we count how many distinct outcomes satisfy the condition of having at least one head.

Step 5: Count total number of outcomes

From the sample space, we count the total number of possible outcomes when two coins are tossed simultaneously.

Step 6: Calculate the probability

The probability of an event is calculated by dividing the number of outcomes favorable to the event by the total number of possible outcomes in the sample space. Substituting the values we found, we get the probability.

Step 7: Substitute values and find the final probability

By substituting the number of favorable outcomes, $n(E) = 3$, and the total number of outcomes, $n(S) = 4$, into the probability formula, we obtain the final probability.

More from this chapter

• During a school sports meet, a volunteer coordinates a lucky draw game to raise funds. A bag contains 50 tokens numbered from 1 to 50. Participants pay a small
• What is the probablity of landing two 6s on 2 die rolled 26 times?
• हिंदी में जवाब दो: The marks of 10 students are 22, 35, 35, 40, 22, 50, 35, 45, 40 and 22. Find the mode and the range of the data.
• A die is thrown once. Find the probability of getting a prime number.
• Suppose we throw a die once. (i) What is the probability of getting a number greater than 4? (ii) What is the probability of getting a number less than or equal
• A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be (i) white? (ii) blue? (i
• One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be (i) a diamond (ii) n

All The Mathematics of Maybe: Introduction to Probability solutions →