Question

7-If you select one card from a 52-card deck, find the probability it is greater than 3 and less than 8.
8. Six movies (A, B, C, D, E, F) are being shown in random order. Find the probability that B will be
shown first, F second, and D last.
9. In a lottery, six different numbers from 1-30 are drawn. A player buys 1000 lottery tickets, all with
different sets of numbers. What is the probability this player wins the grand prize?
10. One card is randomly selected from a deck of 52 cards. Find the probability that the card is a heart
or an even number (2, 4, ..., 10).
11. In a game, players spin a wheel with ten equally likely outcomes, 1-10. Find the probability that:
(a) In a single spin, the number that comes up is odd AND less than 5.
(b) In a single spin, the number that comes up is odd OR less than 5.
(c) In two spins, an odd number comes up first and a number less than 5 comes up second

Answer 1

7) If we select one card from a 52-card deck, the probability it is greater than 3 and less than 8:

Number of cards in a 52-card deck which are greater than 3 and less than 8 (that is the numbers 4, 5, 6, 7).

Since there are 4 colors in a 52-card deck (black (spades ♠), red (hearts ♥), blue (diamonds. ) and green (clubs ♣)),

these 4 numbers would be there in all 4 colors. So we have total 16 cards which are greater than 3 and less than 8.

Therefore, If we select one card from a 52-card deck, the probability it is greater than 3 and less than 8 = 16/52 = 4/13