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.

If two switches S_(1) and S_(2) have respectively 90% and 80% chances of working. Find probabilities that each of the following circuits will work.

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

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?

Three companies A,B,C get contracts form the Govt in the ratio 5:3:2. The probability that these companies finish the works in time,is 60%,80% and 70% respectively. A work given as a contract is finished in time. Find the probability that it is done by company B.

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?