Question:
If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...
If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...
Show Hint
Add the binomial probabilities for 0, 1 and 2 heads.
Updated On: Oct 1, 2026
- \(\frac{37}{64}\)
- \(\frac{37}{256}\)
- \(\frac{37}{128}\)
- \(\frac{37}{512}\)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Setup
\(n=8\), \(p=\frac12\). \(P(X=r) = {}^8C_r\left(\frac12\right)^8\).
Step 2: Add up
\({}^8C_0+{}^8C_1+{}^8C_2 = 1+8+28 = 37\).
Step 3: Result
\(P(X\le2) = \frac{37}{256}\). Option (B).
Final Answer:
The probability is 37/256. \[ \boxed{\text{(B)}\ \frac{37}{256}} \]
\(n=8\), \(p=\frac12\). \(P(X=r) = {}^8C_r\left(\frac12\right)^8\).
Step 2: Add up
\({}^8C_0+{}^8C_1+{}^8C_2 = 1+8+28 = 37\).
Step 3: Result
\(P(X\le2) = \frac{37}{256}\). Option (B).
Final Answer:
The probability is 37/256. \[ \boxed{\text{(B)}\ \frac{37}{256}} \]
Was this answer helpful?
0
0
Top MHT CET Mathematics Questions
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- If $\int\frac{f\left(x\right)}{log \left(sin\,x\right)}dx = log\left[log\,sin\,x\right]+c$ then $f\left(x\right)=$
- If $\int\limits^{K}_0 \frac{dx}{2 + 18 x^2} = \frac{\pi}{24}$, then the value of K is
- If $\int^{\pi/2}_{0} \log\cos x dx =\frac{\pi}{2} \log\left(\frac{1}{2}\right)$ then $ \int^{\pi/2}_{0} \log\sec x dx = $
- The point on the curve $y = \sqrt{x - 1}$ where the tangent is perpendicular to the line $2x + y - 5 = 0 $ is
View More Questions
Top MHT CET binomial distribution Questions
- If \( X \sim B(4, p) \) and \( 2 P(X = 3) = 3 P(X = 2) \), then the value of \( p \) is:
- The volume of a tetrahedron whose vertices are \( A = (-1, 2, 3) \), \( B = (3, -2, 1) \), \( C = (2, 1, 3) \), and \( D = (-1, -2, 4) \) is
- The probability of a shooter hitting a target is \( \frac{3}{4} \). Find the probability of hitting the target exactly 4 times in 5 shots.
- In a Binomial distribution with \(n=10\) and \(p=0.4\), find the variance.
- Two cards are drawn successively with replacement from well shuffled pack of 52 cards, then the probability distribution of number of queens is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions