Answer:
9/52
Step-by-step explanation:
This is a case of multiple events happening at the same time, so we need to find the probability of each event and multiply them together.
Formula for finding probability is as follow:
P(E) = Number of Favorable Outcomes / Number of Total Outcomes
Probability of Heads:
Favorable Outcomes = 1 (Heads)
Total Outcomes = 2 (Heads, Tails)
P(H) = 1/2
Probability of Odd Number:
*Assuming six sided unbiased die
Favorable Outcome = 3 (1, 3, 5)
Total Outcomes = 6 (1, 2, 3, 4, 5)
P(Odd) = 3/6 or 1/2
Probability of Card Less than 10:
*Assuming a deck of 52 cards
Favorable Outcomes = 36 (Ace, 2, 3, 4, 5, 6, 7, 8, 9 times 4)
Total Outcomes = 52 (Ace, 2, 3 ,4 ,5 ,6 ,7 ,8 ,9, 10, J, Q, K times 4)
P(<10) = 36/52 or 9/13
Probability of All Events Occurring:
P(E) = P(H) x P(Odd) x P(<10)
P(E) = 1/2 x 1/2 x 9/13
P(E) = 9/52 --------------------- Answer
