CameraIcon

SearchIcon

MyQuestionIcon

1

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

Definition of Sets

A number x is...

Question

A number x is selected at random from the set {1,2,3,..............99). A number y is selected from the same set.The probability that the number: $7^{X} + 5^{Y}$ last digit is 8.

A

1/4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

1/2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

1/16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

3/8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
1/4

$7^{X}$ will always end is 1,3,7 and 9

$5^{Y}$ will always end in 5

Total cases possible:4

Out of these only one case where 8 is possible

Hence P(E)= $\frac{1}{4}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A number x is selected at random from the set {1,2,3,..............99). A number y is selected from the same set. The probability that the number: 7^x+5^y last digit is 8.

Q. A three digit number is selected at random from the set of all three digit numbers. The probability that the selected number has all the three digits the same is

a

b

are selected uniformly at random from the set

{1, 2, 3, \dots, 99} .

The probability that

3

a^{3} + b^{3}

Q. The number 'a' is randomly selected from the set

{0, 1, 2, 3, . . 98, 99}

. The number 'b' is selected from the same set. Probability that the number

3^{a} + 7^{b}

has a digit equal to

8

at the units place, is?

Q. A number x is selected at random from the numbers

1, 2, 3

4

. Another number y is selected at random from numbers

1, 4, 9

16

. Find the probability that product of x and y is less than

16

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Definition of Sets

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Definition of Sets

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon