State true or false.An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below. Suppose a family is chosen, the probability that the family chosen earns less than ₹7000 per month and doesn’t own any vehicle will be less than the probability that the chosen family doesn’t own more than 1 vehicle irrespective of its income.

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It is given a table,Probability of any event, P(E)=n(E)n(S)  Number of favourable outcomes = n(E); Number of total outcomes = n(S); Probability of event = P(E)It is given that 2400 families were randomly selected in total so the total number of outcomes, n(S)= 2400When the favourable outcome is selecting a family that earns less than ₹7000 per month and doesn’t own any vehicles, n(E)=10So, probability of event occurring will be,⇒PE=nEnS⇒PE=102400⇒P(E)=1240 When the favourable outcome is selecting a family that doesn’t own more than 1 vehicle irrespective of their income, n(E)= 10+0+1+2+1+160+305+535+469+579=2062So, probability of event occurring will be,⇒PE=nEnS⇒PE=20622400⇒P(E)=10311200 So, the probabilities are 1240 and 10311200 respectively.The probability that the family chosen earns less than ₹7000 per month and doesn’t own any vehicle is less than the probability that the chosen family doesn’t own more than 1 vehicle irrespective of its incomeTherefore, the given statement is true.Hence option (1) is correct.

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