WorksheetsSome basic ideas of statistical probability
Total questions: 15
Worksheet time: 29mins
if three similar coin are tossed, then what is the probability of showing two coin head and one tail.
1/8
2/8
3/8
4/8
Mathmatically probability lies between
0 to ∞
0 t0 1
−∞ to ∞
-1 t0 1
if 4 indistinguishable particle are distributed in two equal sized box, then no. of macrostate and microstate are
5 and 16
5 and 5
16 and 5
5 and 10
if 8 coin are tossed then what is the probability of getting the head of 3 coin uppermost?
3/8
7/32
1/2^8
3/2^8
What is the physical significance of a macrostate?
It gives the information about no. of particle distributed in boxes.
It gives the information about energy of a system in a macrostate.
It tells about the accessible and inaccessible states.
None of the above
Probability of a macrostate (r, n-r) is
The ratio of thermodynamic probability of macrostate (r, n-r) and total no of microstate.
n!/r! × 1/2^n
1/2^n
none of the above
what are the total no of microstate if n indistinguishable particles are distributed in two boxes?
n
n+1
2^n
none of the above
if 4 indistinguishable particles are distributed in two boxes then what is thermodynamical probability of getting (2,2) macrostate
1
6
6/16
none of the above
Thermodynamic probability is always
less than 1
greater than 1
lies between 0 and 1
lies between -1 and 1
If two dice are thrown then what is the probability of getting a sum of 10?
1/36
3/36
2/36
none of the above
In a random distribution of 10 particles between two boxes then calculate the ratio of probability of the distribution (3,7) with the distribution of largest probability.
120/2^10
10/21
1/2^10
252/2^10%%
Total no of coordinates in phase space are
3
6
9
none of the above
From a well shuffled pack of 52 cards, a card is drawn from random then what is the probability that it is ace or king?
1/13+1/13
1/13×1/13
1/52×1/52
1/52+1/52
If a hand of 3 cards is dealt from a well shuffled deck, what is the probability that hand consist of ace, two and three?
1/52×51×50
6/52×51×50
3/52×51×50
16/13×51×50
In a random distribution of 6 distinguishable particles, the probabilities of distribution (1,5) and (5,1) are
Different
Same
May be different or same
none of the above
