If two switches `S_1a n dS_2` have respectively 90% and 80% chances of working. Find the probabilities that each of eth following circuits will work.

An electrical system has open-closed switches S_1, S_2 and S_3 as shown in fig. The switches operate independently of one another and the current will flow from AtoB either if S_1 is closed or if both S_2 and S_3 are closed. If P(S_1)=P(S_2)=P(S_3)=1//2, then find the probability that the circuit will work.

The circuit shows two capacitors, C_(1) and C_(2) charged so as to have respectively charges q_(1) and q_(2) . The switch is closed . Which of the following choices are incorrect ?

An electrical system has open-closed switches S_1, S_2a n dS_3 as shown in fig. The switches operate independently of one another and the current will flow from AtoB either if S_1 is closed or if both S_2a n dS_3 are closed. If P(S_1)=P(S_2)=P(S_3)=1//2, then find the probability that the circuit will work. fig

An electrical system has open-closed switches S_1, S_2a n dS_3 as shown in fig. The switches operate independently of one another and the current will flow from AtoB either if S_1 is closed or if both S_2a n dS_3 are closed. If P(S_1)=P(S_2)=P(S_3)=1//2, then find the probability that the circuit will work. fig

A speaks truth in 75% cases and B speaks truth in 80% cases. Find the probability that they contradict each other in stating the same fact?

The probabilities that a student passes in Mathematics,Physics and Chemistry are m, p and c, respectively. Of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true?

A spinner has numbers and colours on it , as shown in the diagram . Their probabilities are given in the tables . When the spinner is spun what is the probability of each of the following ? _Q01.png" width="80%"> 3 or green

Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?

Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?

The probabilities that a student passes in Mathematics,Physics and Chemistry are m, p and c, respectively. Of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true? (a) p+m+c=19/20 (b) p+m+c=27/20 (c) p m c=1/10 (d) p m c=1/4