2 On Saturday afternoons Mohit goes shopping with probability 0.25, or goes to the cinema with probability 0.35 or stays at home. If he goes shopping the probability that he spends more than \(
) 50\( is 0.7 . If he goes to the cinema the probability that he spends more than \)\\( 50\) is 0.8 . If he stays at home he spends \(
) 10$ on a pizza.
- Find the probability that Mohit will go to the cinema and spend less than \(
) 50\(. - Given that he spends less than \)\\( 50\), find the probability that he went to the cinema.