Question

Kayla and Bianca each bought one raffle ticket at the school fair. If 50 tickets were sold, what is the probability Kayla bought ticket number 7 and Bianca bought ticket number 10?

Answer 1

The total tickets sold at the fair = 50 tickets.

Kayla and Bianca each bought one ticket, it could be any numbered. We can start with anyone and find their probability.

If Kayla got ticket numbered #7, its probability would be 1 out of 50.  

Then there would be 49 tickets remaining for Bianca at the fair.

If Bianca got ticket numbered #10, it probability would be 1 out of 49.

Total probability of (Kayla getting #7 AND Bianca getting #10) would be 1/(50x49) = 1/(2,450) = 0.0004081 = 0.0408%.

Hence, final answer is $\frac{1}{2,450} \;or\; 0.0004081 \;or\; 0.0408\%.$