When a dice is rolled- then the probability of getting a number 2 or 3 is pq- Find the value of q-p-Note- p and q are co-primes-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Classical Definition of Probability

When a dice i...

Question

When a dice is rolled, then the probability of getting a number $2$ or $3$ is $\frac{p}{q}$ . Find the value of $q - p$ .
Note: $p$ and $q$ are co-primes.

Open in App

Solution

Total number of possible outcomes $= 6$
Favourable outcomes are $2$ and $3$ i.e. $2$ favourable outcomes $= \frac{2}{6} = \frac{1}{3} = \frac{p}{q}$
$q - p = 3 - 1 = 2$

Suggest Corrections

Similar questions

Q. When a fair dice is rolled, then the probability of getting a number less than

5

\frac{a}{b}

. Find the value of

a + b

Note:

a

and

b

are co-prime.

Q. When a dice is rolled, what is the probability of getting a number 2 or 3 ?

Q. The remainder when

f (x) = x^{2} + 6 x + 8

is divided by

2 x + 1

\frac{p}{q}

, where

p

and

q

are co-primes. Find the value of

p - q

Two dice are rolled simultaneously. Find the probability that number appearing on the first die is of the form of 5p or 2p and the number appearing on the second die is of the form 3q. (where 'p' and‘q’ can take values 1, 2 or 3).

Q. In throwing a pair of dice, the probability of getting a doublet is

(\frac{p}{q}),

then the value of

| p - q |

Join BYJU'S Learning Program

When a dice is rolled, then the probability of getting a number 2 or 3 is pq. Find the value of q−p.Note: p and q are co-primes.

Total number of possible outcomes=6Favourable outcomes are 2 and 3 i.e. 2 favourable outcomes =26=13=pqq−p=3−1=2

When a dice is rolled, then the probability of getting a number $2$ or $3$ is $\frac{p}{q}$ . Find the value of $q - p$ .
Note: $p$ and $q$ are co-primes.

Total number of possible outcomes $= 6$
Favourable outcomes are $2$ and $3$ i.e. $2$ favourable outcomes $= \frac{2}{6} = \frac{1}{3} = \frac{p}{q}$
$q - p = 3 - 1 = 2$