Two digit number are formed by the two digits 0,1,2,3,4, where the digits are not reapeat.find the probability that 1) the number formed is greater than 42 2) the number formed is a multiple of 4
Answers
Two-digit numbers are formed from the digits 0,1,2,3,4 without repeating the digits.
∴ Sample space S={10,12,13,14,20,21,23,24,31,32,34,40,41,42,43}
∴n(S)=16
(1) Let A be the event of getting an even number.
A={10,12,14,20,24,30,32,34,40,42}
∴n(A)=10
Probability, P(A)=
n(S)
n(A)
=
16 /
10
=
8 /
5
(2) Let B the event of getting a prime number.
B={13,23,31,41,43}
∴n(B)=5
Probability, P(B)=
n(S)/
n(B)
=
16/
5
PLSS MARK THIS AS BRAINLIEST
Answer:
Step-by-step explanation:
Two-digit numbers are formed from the digits 0,1,2,3,4 without repeating the digits.
∴ Sample space S={10,12,13,14,20,21,23,24,31,32,34,40,41,42,43}
∴n(S)=16
(1) Let A be the event of getting an even number.
A={10,12,14,20,24,30,32,34,40,42}
∴n(A)=10
Probability, P(A)=
n(S)
n(A)
=
16 /
10
=
8 /
5
(2) Let B the event of getting a prime number.
B={13,23,31,41,43}
∴n(B)=5
Probability, P(B)=
n(S)/
n(B)
=
16/
5
PLSS MARK THIS AS BRAINLIEST