Home
Class 12
MATHS
Three coins are tossed simultaneously. C...

Three coins are tossed simultaneously. Consider the event `E` .three heads or three tails., `F` .atleast two heads. and `G` .atmost two heads.. Of the pairs `(E, F)`, `(E, G)` and `(F, G)`, which are independent or dependent events ?

Text Solution

Verified by Experts

The correct Answer is:
`(E, F)` are independent but `(E, G)` and `(F,G)` are not independent
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (1 mark question)|10 Videos
  • MATRICES

    ARIHANT PRAKASHAN|Exercise Chapter Test ( 6 Mark Questions)|4 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |3 Videos

Similar Questions

Explore conceptually related problems

Three unbiased coins are tossed. What is the probability of getting atleast 2 heads?

Two coins are tossed once. Find P(E//F) . Where E:no tail appears and F: no head appears

Let E and F be the events with P(E )=3/5 P(F)=3/10 and P(E capF)=1/5 find whether the events are independent or not

Two dice are thrown together and the total score is noted. The events E, F and G are 'a total of 4', 'a total of 9 or more' and 'a total divisible by 5', respectively. Calculate P(E), P(F) and P(G) and decide which pairs of events, if any are independent?

Two coins are tossed once. Find P(E//F) . Where E= tail appears on one coin and F=one coin shows head.

There are three coins, one is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows head. What is the probability that it was the two headed coin?

There are three coins. One is a two tailed coin (having tail on both faces) another is a biased coin that comes up heads 60% of the times and third is an unbiased coln. One of the three coins is chosen at random and tossed and it shows tail. What is the probability that it is a two tailed coin.

Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, then what is the probability that she threw 1,2,3 or 4 with the die?

If F_e and F_g are the electric and gravitational forces respectively between an electrons and proton situated at a distance apart , the ratio of F_e and F_g is of the order of