Find the chance of throwing 6 at least once i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The probability of getting a $6$ in a single throw is $p = \frac{1}{6}$.The probability of not getting a $6$ in a single throw is $q = 1 - p = 1 -

Vedclass · Accepted Answer

$[1-(\frac{5}{6})^{6}]$

Vedclass · Answer

(B) The probability of getting a $6$ in a single throw is $p = \frac{1}{6}$.The probability of not getting a $6$ in a single throw is $q = 1 - p = 1 - \frac{1}{6} = \frac{5}{6}$.For $n = 6$ independent throws, the probability of not getting a $6$ in any of the throws is $q^n = (\frac{5}{6})^{6}$.The probability of getting a $6$ at least once is given by $1 - P(	ext{no } 6) = 1 - (\frac{5}{6})^{6}$.

Find the chance of throwing $6$ at least once in six throws with a single die.

Similar Questions

If $A$ and $B$ are two independent events such that $P(A) = \frac{1}{2}$ and $P(B) = \frac{1}{5}$,then which of the following is true?

If $P(A) = \frac{2}{3}$,$P(B) = \frac{4}{9}$ and $P(A \cap B) = \frac{14}{45}$,then find $P(A \cup B)$.

From a pack of $52$ cards,two cards are drawn together at random. What is the probability of both cards being kings?

Two dice are thrown. Find the probability of getting at least one of the two numbers as $4$.

$A$ basket contains $5$ apples and $7$ oranges,and another basket contains $4$ apples and $8$ oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges.

Vedclass Test Series

Exam Paper Generator

Online Exam Module