The athletic club at school sold raffle tickets to raise money for equipment. The club sold a total of 1050 tickets,515 to teach

Question

4 years ago

11

ers and 235 tickets to staff. If the winning ticket was picked at random what is the probability of the teacher or other staff member?

1 answer:

Arlecino [84] · Answer 1 · 2021-12-29T10:57:05+03:00

Answer:

Probability of the teacher or other staff is 0.7143

Step-by-step explanation:

pr(teacher or other staff) = pr(teacher) + pr(other staff) - pr(teacher and other staff)

Total number of tickets = 1050

Number of tickets sold to teachers = 515

Number of tickets sold to other staff = 235

pr(teacher) = $\frac{515}{1050}$

= 103 $\frac{2}{10}$

= 0.4905

pr(other staff) = $\frac{235}{1050}$

= 47 $\frac{2}{10}$

= 0.2238

Since the picking of the wining ticket is mutually exclusive, then;

pr(teacher and other staff) = 0

Thus,

pr(teacher or other staff) = 0.4905 + 0.2238 - 0

= 0.7143