Home
Class 12
MATHS
Find the expected value of the experimen...

Find the expected value of the experiment “tossing 3 coins simultaneously” when random variable x can take value
x=0, when exactly one head appear
x =1, when exactly two head appear
x=2, when exactly three head appear
x=3, when no head appear

A

2

B

1.5

C

1

D

1.1

Text Solution

Verified by Experts

The correct Answer is:
C
`because" "P(x=0)=(3)/(8),P(x=1)=(3)/(8)`
`P(x=2)=(1)/(8)" "P(x=3)=(1)/(8)`
`therefore" "E(x)=0.(3)/(8)+1xx(3)/(8)+2x(1)/(8)+3xx(1)/(8)=(8)/(8)=1`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 8

    VMC MODULES ENGLISH|Exercise MATHMATICS (SECTION 2)|5 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

Similar Questions

Explore conceptually related problems

In a simultaneous toss of two coins, find the probability of getting: exactly one head

In simultaneous toss of 4 coins , what is the probability of getting exactly 3 heads ?

A coin is tossed three times. Given that at least one head appears, what is the probability that exactly two heads will appear?

A coin is tossed 15 times, then find the probability that exactly 9 consecutive heads appears, is

The probability of getting exactly two heads when tossing a coin three times is

Two coins are tossed simultaneously. Find the probability of getting exactly one head.

Two coins are tossed simultaneously. Find the probability of getting exactly one head.

In one toss of three coins, at least one head appears. Find the probability of getting three heads.

Two coins are tossed simultaneously. Find the probability of getting: (i) exactly 1 head (ii) at most 1 head (iii) at least 1 head.

Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by exactly one value of x exactly two value of x exactly one value of y exactly two value of y