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A card is randomly drawn from an ordinary deck of playing cards what is the probability that the card is a king or a diamond?
You randomly select one card from a 52-card deck. Find the probability of selecting the king of diamonds or the jack of
You randomly select a month of the year What is the probability that you select a month with 28 or 30 days in it?
First we don't consider leap year There is 1 month with 28 days: february There are 4 months with 30 days: april, june, september, november So the probability to select a month with 28 or 30 days is (1+4)/12 = 5/12 If the year is a leap year then the probability is 4/12
A small business employs 6 women and 4 men. The manager randomly selects 3 of them to be on a team. What is the probability that all 3 are men?
1-30
What is the probability that 4 randomly selected people all have different birthdays?
Let us assume that there are exactly 365 days in a year and that birthdays are uniformly randomly distributed across those days. First, what is the probability that 2 randomly selected people have different birthdays? The second person's birthday can be any day except the first person's, so the probability is 364/365. What is the probability that 3 people will all have different birthdays? We already know that there is a 364/365 chance that the first two will have different birthdays. The third person must have a birthday that is different from the first two: the probability of this happening is 363/365. We need to multiply the probabilities since the events are independent; the answer for 3 people is thus 364/365 × 363/365. You should now be able to solve it for 4 people.
There are 5 yellow tiles 7 green tiles and 4 blue tiles in a bag What is the probability of randomly drawing 3 yellow tiles?
Try 5/16 x 4/15 x 3/14 = 1/56 = 0.010178571
