A box contains cards marked with numbers 5 to 20. A card is draw
What is the probability that a number selected have the number 1,2,3..............,15 is a multiple of 4.

Here, we have S = {1, 2, 3,....., 15}
⇒    n(s) = 15
Let A be the favourable av + causes of getting a multiple 4, then A = {4,8,12}
⇒     n (A) = 3

Therefore, P(A) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 15 equals 1 fifth.


227 Views

A die is thrown once. Find the probability of getting number less than 5.

When a die is thrown once, then possible outcome(s) are 6
i.e.,    n(S) = 6
Let ‘A’ be the favourable outcomes of getting a number greater than 5. Then A = (6) i.e.,    n(A) = 1
Therefore,


rightwards double arrow space space space straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 1 over 6.

243 Views

Advertisement

A box contains cards marked with numbers 5 to 20. A card is drawn from the bag at random. Find the probability of getting a number which is a perfect square.


Total number of possible outcome(s) are 16 i.e.,    n(S) = 16

Let A be the favourable outcomes of getting getting a number which is perfect square. Then A = (9,16) i.e.,    n(A) = 2

Therefore,

rightwards double arrow space space space space straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 2 over 16 equals 1 over 8

1116 Views

Advertisement
Write the Sample Space when a coin is tossed.

S = {H, T}

224 Views

A die is thrown once. Find the probability of getting number less than 3.

When a die is thrown oner then possible outcome(s) are 6
i.e.,    n(S) = 6
Let A be the favourable outcomes of setting a number less than 3. then
A = (1,2) i.e.,    n(A) = 2
Therefore,


When a die is thrown oner then possible outcome(s) are 6i.e.,    nrightwards double arrow space space space straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 2 over 6 equals 1 third.

258 Views

Advertisement