Step 1: Defining the variables:
Let the number of yellow balls be \( x \).Step 2: Setting up the probability equation:
The probability of drawing a red ball is given by the ratio of red balls to the total number of balls. The probability of drawing a red ball is also given as \( \frac{1}{5} \). Therefore, we can set up the equation:Step 3: Solving for \( x \):
Now, we solve for \( x \) by cross-multiplying:Step 4: Conclusion:
Thus, the number of yellow balls is \( x = 11 \). The total number of balls in the bag is:Step 5: Finding the probability of drawing a yellow ball:
The probability of drawing a yellow ball is the ratio of yellow balls to the total number of balls. Therefore, the probability of drawing a yellow ball is:Directions: In Question Numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option from the following:
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.
In an experiment of throwing a die,
Assertion (A): Event $E_1$: getting a number less than 3 and Event $E_2$: getting a number greater than 3 are complementary events.
Reason (R): If two events $E$ and $F$ are complementary events, then $P(E) + P(F) = 1$.
प्रादेशिक स्तर पर आयोजित होने वाली 100 मीटर की बाधा दौड़ में आपके मित्र को प्रथम स्थान मिला है। उसे बधाई देते हुए लगभग 40 शब्दों में एक संदेश लिखिए।
‘मेघला के आकार वाली पर्वत श्रृंखला ने पृथ्वी को चारों तरफ से घेर रखा है।’ – रेखांकित पदों की जगह उपयुक्त समस्तपद प्रस्तुत कीजिए तथा समास का नाम भी लिखिए।