Question

suppose two cards are randomly selected from a deck with replacement. then what is the probability that at least one of the card is the queen of hearts, given that at least one red card is selected?

If six people are randomly selective of the streets, what is the probability that at least two of them have the same birthday?

Answer 1

Answer:

1.

Given,

To give the probability that at least one of the card is the queen of hearts, given that at least one red card is selected

i.e.,

= P(At least 1 queen of hearts and at least one red) / P(at least one red)

= (2/52) / (1 - 1/4)

= 0.038462 / 0.75

= 0.05

Required probability = 0.05

2.

To give the probability that at least two of them have the same birthday

Required probability = 1 - P(None have same bday)

= 1 - (365/365 * 364/365 * 363/365 * 362/365 * 361/365 * 360/365)

= 1 - 0.9595

= 0.0405

Required probability = 0.0405